1
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Moldabekov Z, Schwalbe S, Böhme MP, Vorberger J, Shao X, Pavanello M, Graziani FR, Dornheim T. Bound-State Breaking and the Importance of Thermal Exchange-Correlation Effects in Warm Dense Hydrogen. J Chem Theory Comput 2024; 20:68-78. [PMID: 38133546 PMCID: PMC10782774 DOI: 10.1021/acs.jctc.3c00934] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/24/2023] [Revised: 12/01/2023] [Accepted: 12/01/2023] [Indexed: 12/23/2023]
Abstract
Hydrogen at extreme temperatures and pressures is of key relevance for cutting-edge technological applications, with inertial confinement fusion research being a prime example. In addition, it is ubiquitous throughout our universe and naturally occurs in a variety of astrophysical objects. In the present work, we present exact ab initio path integral Monte Carlo (PIMC) results for the electronic density of warm dense hydrogen along a line of constant degeneracy across a broad range of densities. Using the well-known concept of reduced density gradients, we develop a new framework to identify the breaking of bound states due to pressure ionization in bulk hydrogen. Moreover, we use our PIMC results as a reference to rigorously assess the accuracy of a variety of exchange-correlation (XC) functionals in density functional theory calculations for different density regions. Here, a key finding is the importance of thermal XC effects for the accurate description of density gradients in high-energy-density systems. Our exact PIMC test set is freely available online and can be used to guide the development of new methodologies for the simulation of warm dense matter and beyond.
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Affiliation(s)
- Zhandos Moldabekov
- Center
for Advanced Systems Understanding (CASUS), Görlitz D-02826, Germany
- Helmholtz-Zentrum
Dresden-Rossendorf (HZDR), Dresden D-01328, Germany
| | - Sebastian Schwalbe
- Center
for Advanced Systems Understanding (CASUS), Görlitz D-02826, Germany
- Helmholtz-Zentrum
Dresden-Rossendorf (HZDR), Dresden D-01328, Germany
| | | | - Jan Vorberger
- Helmholtz-Zentrum
Dresden-Rossendorf (HZDR), Dresden D-01328, Germany
| | - Xuecheng Shao
- Department
of Chemistry, Rutgers University, Newark, New Jersey 07102, United States
- Department
of Physics, Rutgers University, Newark, New Jersey 07102, United States
| | - Michele Pavanello
- Department
of Chemistry, Rutgers University, Newark, New Jersey 07102, United States
- Department
of Physics, Rutgers University, Newark, New Jersey 07102, United States
| | - Frank R. Graziani
- Lawrence
Livermore National Laboratory (LLNL), Livermore 94550, California, United States
| | - Tobias Dornheim
- Center
for Advanced Systems Understanding (CASUS), Görlitz D-02826, Germany
- Helmholtz-Zentrum
Dresden-Rossendorf (HZDR), Dresden D-01328, Germany
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2
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Dornheim T, Böhme MP, Moldabekov ZA, Vorberger J. Electronic density response of warm dense hydrogen on the nanoscale. Phys Rev E 2023; 108:035204. [PMID: 37849144 DOI: 10.1103/physreve.108.035204] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2023] [Accepted: 08/11/2023] [Indexed: 10/19/2023]
Abstract
The properties of hydrogen at warm dense matter (WDM) conditions are of high importance for the understanding of astrophysical objects and technological applications such as inertial confinement fusion. In this work, we present extensive ab initio path integral Monte Carlo results for the electronic properties in the Coulomb potential of a fixed ionic configuration. This gives us unique insights into the complex interplay between the electronic localization around the protons with their density response to an external harmonic perturbation. We find qualitative agreement between our simulation data and a heuristic model based on the assumption of a local uniform electron gas model, but important trends are not captured by this simplification. In addition to being interesting in their own right, we are convinced that our results will be of high value for future projects, such as the rigorous benchmarking of approximate theories for the simulation of WDM, most notably density functional theory.
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Affiliation(s)
- Tobias Dornheim
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
| | - Maximilian P Böhme
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
- Technische Universität Dresden, D-01062 Dresden, Germany
| | - Zhandos A Moldabekov
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
| | - Jan Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
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3
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Svensson P, Campbell T, Graziani F, Moldabekov Z, Lyu N, Batista VS, Richardson S, Vinko SM, Gregori G. Development of a new quantum trajectory molecular dynamics framework. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2023; 381:20220325. [PMID: 37393934 PMCID: PMC10315217 DOI: 10.1098/rsta.2022.0325] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/14/2022] [Accepted: 01/19/2023] [Indexed: 07/04/2023]
Abstract
An extension to the wave packet description of quantum plasmas is presented, where the wave packet can be elongated in arbitrary directions. A generalized Ewald summation is constructed for the wave packet models accounting for long-range Coulomb interactions and fermionic effects are approximated by purpose-built Pauli potentials, self-consistent with the wave packets used. We demonstrate its numerical implementation with good parallel support and close to linear scaling in particle number, used for comparisons with the more common wave packet employing isotropic states. Ground state and thermal properties are compared between the models with differences occurring primarily in the electronic subsystem. Especially, the electrical conductivity of dense hydrogen is investigated where a 15% increase in DC conductivity can be seen in our wave packet model compared with other models. This article is part of the theme issue 'Dynamic and transient processes in warm dense matter'.
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Affiliation(s)
- Pontus Svensson
- Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU, UK
| | - Thomas Campbell
- Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU, UK
| | - Frank Graziani
- Lawrence Livermore National Laboratory, Livermore, CA 94550, USA
| | - Zhandos Moldabekov
- Center of Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
| | - Ningyi Lyu
- Department of Chemistry, Yale University, New Haven, CT 06520, USA
| | - Victor S Batista
- Department of Chemistry, Yale University, New Haven, CT 06520, USA
- Yale Quantum Institute, Yale University, New Haven, CT 06511, USA
| | | | - Sam M Vinko
- Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU, UK
- Central Laser Facility, STFC Rutherford Appleton Laboratory, Didcot OX11 0QX, UK
| | - Gianluca Gregori
- Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU, UK
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4
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White TG, Dai J, Riley D. Dynamic and transient processes in warm dense matter. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2023; 381:20220223. [PMID: 37393937 PMCID: PMC10315215 DOI: 10.1098/rsta.2022.0223] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/05/2023] [Accepted: 05/22/2023] [Indexed: 07/04/2023]
Abstract
In this paper, we discuss some of the key challenges in the study of time-dependent processes and non-equilibrium behaviour in warm dense matter. We outline some of the basic physics concepts that have underpinned the definition of warm dense matter as a subject area in its own right and then cover, in a selective, non-comprehensive manner, some of the current challenges, pointing along the way to topics covered by the papers presented in this volume. This article is part of the theme issue 'Dynamic and transient processes in warm dense matter'.
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Affiliation(s)
- Thomas G. White
- Department of Physics, University of Nevada, Reno, NV 89557, USA
| | - Jiayu Dai
- College of Science, National University of Defense Technology, Changsha 410073, People’s Republic of China
| | - David Riley
- School of Mathematics and Physics, Queen’s University Belfast, Belfast BT7 1NN, UK
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5
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Angermeier WA, Scheiner BS, Shaffer NR, White TG. Disentangling the effects of non-adiabatic interactions upon ion self-diffusion within warm dense hydrogen. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2023; 381:20230034. [PMID: 37393932 DOI: 10.1098/rsta.2023.0034] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/15/2023] [Accepted: 05/11/2023] [Indexed: 07/04/2023]
Abstract
Warm dense matter is a material state in the region of parameter space connecting condensed matter to classical plasma physics. In this intermediate regime, we investigate the significance of non-adiabatic electron-ion interactions upon ion dynamics. To disentangle non-adiabatic from adiabatic electron-ion interactions, we compare the ion self-diffusion coefficient from the non-adiabatic electron force field computational model with an adiabatic, classical molecular dynamics simulation. A classical pair potential developed through a force-matching algorithm ensures the only difference between the models is due to the electronic inertia. We implement this new method to characterize non-adiabatic effects on the self-diffusion of warm dense hydrogen over a wide range of temperatures and densities. Ultimately we show that the impact of non-adiabatic effects is negligible for equilibrium ion dynamics in warm dense hydrogen. This article is part of the theme issue 'Dynamic and transient processes in warm dense matter'.
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Affiliation(s)
| | | | - Nathaniel R Shaffer
- Laboratory for Laser Energetics, University of Rochester,Rochester, NY 14623, USA
| | - Thomas G White
- Department of Physics, University of Nevada, Reno NV 89557, USA
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6
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Dreimann M, Wahlert F, Eckermann D, Rosenthal F, Roling S, Reiker T, Kuhlmann M, Toleikis S, Brachmanski M, Treusch R, Plönjes E, Siemer B, Zacharias H. The soft X-ray and XUV split-and-delay unit at beamlines FL23/24 at FLASH2. JOURNAL OF SYNCHROTRON RADIATION 2023; 30:479-489. [PMID: 36891862 PMCID: PMC10000806 DOI: 10.1107/s1600577523000395] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/21/2022] [Accepted: 01/16/2023] [Indexed: 06/18/2023]
Abstract
A split-and-delay unit for the extreme ultraviolet and soft X-ray spectral regions has been built which enables time-resolved experiments at beamlines FL23 and FL24 at the Free-electron LASer in Hamburg (FLASH). Geometric wavefront splitting at a sharp edge of a beam splitting mirror is applied to split the incoming soft X-ray pulse into two beams. Ni and Pt coatings at grazing incidence angles have been chosen in order to cover the whole spectral range of FLASH2 and beyond, up to hν = 1800 eV. In the variable beam path with a grazing incidence angle of ϑd = 1.8°, the total transmission (T) ranges are of the order of 0.48 < T < 0.84 for hν < 100 eV and T > 0.50 for 100 eV < hν < 650 eV with the Ni coating, and T > 0.06 for hν < 1800 eV for the Pt coating. For a fixed beam path with a grazing incidence angle of ϑf = 1.3°, a transmission of T > 0.61 with the Ni coating and T > 0.23 with a Pt coating is achieved. Soft X-ray pump/soft X-ray probe experiments are possible within a delay range of -5 ps < Δt < +18 ps with a nominal time resolution of tr = 66 as and a measured timing jitter of tj = 121 ± 2 as. First experiments with the split-and-delay unit determined the averaged coherence time of FLASH2 to be τc = 1.75 fs at λ = 8 nm, measured at a purposely reduced coherence of the free-electron laser.
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Affiliation(s)
- Matthias Dreimann
- Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, Busso-Peus-Str. 10, 48149 Münster, Germany
| | - Frank Wahlert
- Physikalisches Institut, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Str. 10, 48149 Münster, Germany
| | - Dennis Eckermann
- Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, Busso-Peus-Str. 10, 48149 Münster, Germany
| | - Felix Rosenthal
- Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, Busso-Peus-Str. 10, 48149 Münster, Germany
| | - Sebastian Roling
- Physikalisches Institut, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Str. 10, 48149 Münster, Germany
| | - Tobias Reiker
- Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, Busso-Peus-Str. 10, 48149 Münster, Germany
| | - Marion Kuhlmann
- Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany
| | - Sven Toleikis
- Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany
| | - Maciej Brachmanski
- Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany
| | - Rolf Treusch
- Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany
| | - Elke Plönjes
- Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany
| | - Björn Siemer
- Physikalisches Institut, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Str. 10, 48149 Münster, Germany
| | - Helmut Zacharias
- Center for Soft Nanoscience, Westfälische Wilhelms-Universität Münster, Busso-Peus-Str. 10, 48149 Münster, Germany
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7
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Moldabekov Z, Böhme M, Vorberger J, Blaschke D, Dornheim T. Ab Initio Static Exchange-Correlation Kernel across Jacob's Ladder without Functional Derivatives. J Chem Theory Comput 2023; 19:1286-1299. [PMID: 36724889 PMCID: PMC9979610 DOI: 10.1021/acs.jctc.2c01180] [Citation(s) in RCA: 6] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
The electronic exchange─correlation (XC) kernel constitutes a fundamental input for the estimation of a gamut of properties such as the dielectric characteristics, the thermal and electrical conductivity, or the response to an external perturbation. In this work, we present a formally exact methodology for the computation of the system specific static XC kernel exclusively within the framework of density functional theory (DFT) and without employing functional derivatives─no external input apart from the usual XC-functional is required. We compare our new results with exact quantum Monte Carlo (QMC) data for the archetypical uniform electron gas model under both ambient and warm dense matter conditions. This gives us unprecedented insights into the performance of different XC functionals, and it has important implications for the development of new functionals that are designed for the application at extreme temperatures. In addition, we obtain new DFT results for the XC kernel of warm dense hydrogen as it occurs in fusion applications and astrophysical objects. The observed excellent agreement to the QMC reference data demonstrates that presented framework is capable to capture nontrivial effects such as XC-induced isotropy breaking in the density response of hydrogen at large wave numbers.
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Affiliation(s)
- Zhandos Moldabekov
- Center
for Advanced Systems Understanding (CASUS), D-02826Görlitz, Germany,Helmholtz-Zentrum
Dresden-Rossendorf (HZDR), D-01328Dresden, Germany,E-mail:
| | - Maximilian Böhme
- Center
for Advanced Systems Understanding (CASUS), D-02826Görlitz, Germany
| | - Jan Vorberger
- Helmholtz-Zentrum
Dresden-Rossendorf (HZDR), D-01328Dresden, Germany
| | - David Blaschke
- Institute
of Theoretical Physics, University of Wroclaw, 50-204Wroclaw, Poland
| | - Tobias Dornheim
- Center
for Advanced Systems Understanding (CASUS), D-02826Görlitz, Germany,Helmholtz-Zentrum
Dresden-Rossendorf (HZDR), D-01328Dresden, Germany,E-mail:
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8
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Böhme M, Moldabekov ZA, Vorberger J, Dornheim T. Static Electronic Density Response of Warm Dense Hydrogen: Ab Initio Path Integral Monte Carlo Simulations. PHYSICAL REVIEW LETTERS 2022; 129:066402. [PMID: 36018668 DOI: 10.1103/physrevlett.129.066402] [Citation(s) in RCA: 11] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/04/2022] [Revised: 05/12/2022] [Accepted: 06/23/2022] [Indexed: 06/15/2023]
Abstract
The properties of hydrogen under extreme conditions are important for many applications, including inertial confinement fusion and astrophysical models. A key quantity is given by the electronic density response to an external perturbation, which is probed in x-ray Thomson scattering experiments-the state of the art diagnostics from which system parameters like the free electron density n_{e}, the electronic temperature T_{e}, and the charge state Z can be inferred. In this work, we present highly accurate path integral Monte Carlo results for the static electronic density response of hydrogen. We obtain the static exchange-correlation (XC) kernel K_{XC}, which is of central relevance for many applications, such as time-dependent density functional theory. This gives us a first unbiased look into the electronic density response of hydrogen in the warm-dense matter regime, thereby opening up a gamut of avenues for future research.
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Affiliation(s)
- Maximilian Böhme
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
- Technische Universität Dresden, D-01062 Dresden, Germany
| | - Zhandos A Moldabekov
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
| | - Jan Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
| | - Tobias Dornheim
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
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9
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Moldabekov Z, Vorberger J, Dornheim T. Density Functional Theory Perspective on the Nonlinear Response of Correlated Electrons across Temperature Regimes. J Chem Theory Comput 2022; 18:2900-2912. [PMID: 35484932 PMCID: PMC9097288 DOI: 10.1021/acs.jctc.2c00012] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We explore a new formalism to study the nonlinear electronic density response based on Kohn-Sham density functional theory (KS-DFT) at partially and strongly quantum degenerate regimes. It is demonstrated that the KS-DFT calculations are able to accurately reproduce the available path integral Monte Carlo simulation results at temperatures relevant for warm dense matter research. The existing analytical results for the quadratic and cubic response functions are rigorously tested. It is demonstrated that the analytical results for the quadratic response function closely agree with the KS-DFT data. Furthermore, the performed analysis reveals that currently available analytical formulas for the cubic response function are not able to describe simulation results, neither qualitatively nor quantitatively, at small wavenumbers q < 2qF, with qF being the Fermi wavenumber. The results show that KS-DFT can be used to describe warm dense matter that is strongly perturbed by an external field with remarkable accuracy. Furthermore, it is demonstrated that KS-DFT constitutes a valuable tool to guide the development of the nonlinear response theory of correlated quantum electrons from ambient to extreme conditions. This opens up new avenues to study nonlinear effects in a gamut of different contexts at conditions that cannot be accessed with previously used path integral Monte Carlo methods.
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Affiliation(s)
- Zhandos Moldabekov
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany.,Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
| | - Jan Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
| | - Tobias Dornheim
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany.,Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
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10
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Thermal excitation signals in the inhomogeneous warm dense electron gas. Sci Rep 2022; 12:1093. [PMID: 35058531 PMCID: PMC8776784 DOI: 10.1038/s41598-022-05034-z] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/13/2021] [Accepted: 12/30/2021] [Indexed: 12/16/2022] Open
Abstract
We investigate the emergence of electronic excitations from the inhomogeneous electronic structure at warm dense matter parameters based on first-principles calculations. The emerging modes are controlled by the imposed perturbation amplitude. They include satellite signals around the standard plasmon feature, transformation of plasmons to optical modes, and double-plasmon modes. These modes exhibit a pronounced dependence on the temperature. This makes them potentially invaluable for the diagnostics of plasma parameters in the warm dense matter regime. We demonstrate that these modes can be probed with present experimental techniques.
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11
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Moldabekov Z, Dornheim T, Böhme M, Vorberger J, Cangi A. The relevance of electronic perturbations in the warm dense electron gas. J Chem Phys 2021; 155:124116. [PMID: 34598570 DOI: 10.1063/5.0062325] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Warm dense matter (WDM) has emerged as one of the frontiers of both experimental physics and theoretical physics and is a challenging traditional concept of plasma, atomic, and condensed-matter physics. While it has become common practice to model correlated electrons in WDM within the framework of Kohn-Sham density functional theory, quantitative benchmarks of exchange-correlation (XC) functionals under WDM conditions are yet incomplete. Here, we present the first assessment of common XC functionals against exact path-integral Monte Carlo calculations of the harmonically perturbed thermal electron gas. This system is directly related to the numerical modeling of x-ray scattering experiments on warm dense samples. Our assessment yields the parameter space where common XC functionals are applicable. More importantly, we pinpoint where the tested XC functionals fail when perturbations on the electronic structure are imposed. We indicate the lack of XC functionals that take into account the needs of WDM physics in terms of perturbed electronic structures.
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Affiliation(s)
- Zhandos Moldabekov
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
| | - Tobias Dornheim
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
| | - Maximilian Böhme
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
| | - Jan Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
| | - Attila Cangi
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
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12
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Baggott RA, Rose SJ, Mangles SPD. Temperature Equilibration due to Charge State Fluctuations in Dense Plasmas. PHYSICAL REVIEW LETTERS 2021; 127:035002. [PMID: 34328772 DOI: 10.1103/physrevlett.127.035002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/03/2021] [Revised: 05/11/2021] [Accepted: 06/07/2021] [Indexed: 06/13/2023]
Abstract
The charge states of ions in dense plasmas fluctuate due to collisional ionization and recombination. Here, we show how, by modifying the ion interaction potential, these fluctuations can mediate energy exchange between the plasma electrons and ions. Moreover, we develop a theory for this novel electron-ion energy transfer mechanism. Calculations using a random walk approach for the fluctuations suggest that the energy exchange rate from charge state fluctuations could be comparable to direct electron-ion collisions. This mechanism is, however, predicted to exhibit a complex dependence on the temperature and ionization state of the plasma, which could contribute to our understanding of significant variation in experimental measurements of equilibration times.
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Affiliation(s)
- R A Baggott
- Plasma Physics Group, Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
| | - S J Rose
- Plasma Physics Group, Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
| | - S P D Mangles
- Plasma Physics Group, Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
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13
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Cerantola V, Rosa AD, Konôpková Z, Torchio R, Brambrink E, Rack A, Zastrau U, Pascarelli S. New frontiers in extreme conditions science at synchrotrons and free electron lasers. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:274003. [PMID: 33930892 DOI: 10.1088/1361-648x/abfd50] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/29/2021] [Accepted: 04/30/2021] [Indexed: 06/12/2023]
Abstract
Synchrotrons and free electron lasers are unique facilities to probe the atomic structure and electronic properties of matter at extreme thermodynamical conditions. In this context, 'matter at extreme pressures and temperatures' was one of the science drivers for the construction of low emittance 4th generation synchrotron sources such as the Extremely Brilliant Source of the European Synchrotron Radiation Facility and hard x-ray free electron lasers, such as the European x-ray free electron laser. These new user facilities combine static high pressure and dynamic shock compression experiments to outstanding high brilliance and submicron beams. This combination not only increases the data-quality but also enlarges tremendously the accessible pressure, temperature and density space. At the same time, the large spectrum of available complementary x-ray diagnostics for static and shock compression studies opens unprecedented insights into the state of matter at extremes. The article aims at highlighting a new horizon of scientific opportunities based on the synergy between extremely brilliant synchrotrons and hard x-ray free electron lasers.
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Affiliation(s)
- Valerio Cerantola
- European X-ray Free-Electron Laser, Holzkoppel 4, 22869 Schenefeld, Germany
| | | | - Zuzana Konôpková
- European X-ray Free-Electron Laser, Holzkoppel 4, 22869 Schenefeld, Germany
| | - Raffaella Torchio
- ESRF-The European Synchrotron, 71 Avenue des Martyrs, Grenoble 38000, France
| | - Erik Brambrink
- European X-ray Free-Electron Laser, Holzkoppel 4, 22869 Schenefeld, Germany
| | - Alexander Rack
- ESRF-The European Synchrotron, 71 Avenue des Martyrs, Grenoble 38000, France
| | - Ulf Zastrau
- European X-ray Free-Electron Laser, Holzkoppel 4, 22869 Schenefeld, Germany
| | - Sakura Pascarelli
- European X-ray Free-Electron Laser, Holzkoppel 4, 22869 Schenefeld, Germany
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14
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Dornheim T, Vorberger J. Overcoming finite-size effects in electronic structure simulations at extreme conditions. J Chem Phys 2021; 154:144103. [DOI: 10.1063/5.0045634] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Tobias Dornheim
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
| | - Jan Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
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15
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Kärcher V, Roling S, Samoylova L, Buzmakov A, Zastrau U, Appel K, Yurkov M, Schneidmiller E, Siewert F, Zacharias H. Impact of real mirror profiles inside a split-and-delay unit on the spatial intensity profile in pump/probe experiments at the European XFEL. JOURNAL OF SYNCHROTRON RADIATION 2021; 28:350-361. [PMID: 33399587 PMCID: PMC7842232 DOI: 10.1107/s1600577520014563] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/13/2020] [Accepted: 11/03/2020] [Indexed: 05/08/2023]
Abstract
For the High-Energy-Density (HED) beamline at the SASE2 undulator of the European XFEL, a hard X-ray split-and-delay unit (SDU) has been built enabling time-resolved pump/probe experiments with photon energies between 5 keV and 24 keV. The optical layout of the SDU is based on geometrical wavefront splitting and multilayer Bragg mirrors. Maximum delays between Δτ = ±1 ps at 24 keV and Δτ = ±23 ps at 5 keV will be possible. Time-dependent wavefront propagation simulations were performed by means of the Synchrotron Radiation Workshop (SRW) software in order to investigate the impact of the optical layout, including diffraction on the beam splitter and recombiner edges and the three-dimensional topography of all eight mirrors, on the spatio-temporal properties of the XFEL pulses. The radiation is generated from noise by the code FAST which simulates the self-amplified spontaneous emission (SASE) process. A fast Fourier transformation evaluation of the disturbed interference pattern yields for ideal mirror surfaces a coherence time of τc = 0.23 fs and deduces one of τc = 0.21 fs for the real mirrors, thus with an error of Δτ = 0.02 fs which is smaller than the deviation resulting from shot-to-shot fluctuations of SASE2 pulses. The wavefronts are focused by means of compound refractive lenses in order to achieve fluences of a few hundred mJ mm-2 within a spot width of 20 µm (FWHM) diameter. Coherence effects and optics imperfections increase the peak intensity between 200 and 400% for pulse delays within the coherence time. Additionally, the influence of two off-set mirrors in the HED beamline are discussed. Further, we show the fluence distribution for Δz = ±3 mm around the focal spot along the optical axis. The simulations show that the topographies of the mirrors of the SDU are good enough to support X-ray pump/X-ray probe experiments.
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Affiliation(s)
- V. Kärcher
- Physikalisches Institut, Westfälische Wilhelms-Universität, 48149 Münster, Germany
| | - S. Roling
- Physikalisches Institut, Westfälische Wilhelms-Universität, 48149 Münster, Germany
| | | | - A. Buzmakov
- FSRC ‘Crystallography and Photonics’ RAS, 119333 Moscow, Russia
| | - U. Zastrau
- European XFEL GmbH, 22869 Schenefeld, Germany
| | - K. Appel
- European XFEL GmbH, 22869 Schenefeld, Germany
| | - M. Yurkov
- Deutsches Elektronen-Synchrotron, 22603 Hamburg, Germany
| | | | - F. Siewert
- Helmholtz-Zentrum Berlin für Materialien und Energie, Department Optics and Beamlines, 12489 Berlin, Germany
| | - H. Zacharias
- Physikalisches Institut, Westfälische Wilhelms-Universität, 48149 Münster, Germany
- Center for Soft Nanoscience, Westfälische Wilhelms-Universität, 48149 Münster, Germany
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16
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Dornheim T, Cangi A, Ramakrishna K, Böhme M, Tanaka S, Vorberger J. Effective Static Approximation: A Fast and Reliable Tool for Warm-Dense Matter Theory. PHYSICAL REVIEW LETTERS 2020; 125:235001. [PMID: 33337174 DOI: 10.1103/physrevlett.125.235001] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/06/2020] [Revised: 10/12/2020] [Accepted: 11/03/2020] [Indexed: 06/12/2023]
Abstract
We present an effective static approximation (ESA) to the local field correction (LFC) of the electron gas that enables highly accurate calculations of electronic properties like the dynamic structure factor S(q,ω), the static structure factor S(q), and the interaction energy v. The ESA combines the recent neural-net representation by T. Dornheim et al., [J. Chem. Phys. 151, 194104 (2019)JCPSA60021-960610.1063/1.5123013] of the temperature-dependent LFC in the exact static limit with a consistent large wave-number limit obtained from quantum Monte Carlo data of the on-top pair distribution function g(0). It is suited for a straightforward integration into existing codes. We demonstrate the importance of the LFC for practical applications by reevaluating the results of the recent x-ray Thomson scattering experiment on aluminum by Sperling et al. [Phys. Rev. Lett. 115, 115001 (2015)PRLTAO0031-900710.1103/PhysRevLett.115.115001]. We find that an accurate incorporation of electronic correlations in terms of the ESA leads to a different prediction of the inelastic scattering spectrum than obtained from state-of-the-art models like the Mermin approach or linear-response time-dependent density functional theory. Furthermore, the ESA scheme is particularly relevant for the development of advanced exchange-correlation functionals in density functional theory.
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Affiliation(s)
- Tobias Dornheim
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
| | - Attila Cangi
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
| | - Kushal Ramakrishna
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
- Technische Universität Dresden, D-01062 Dresden, Germany
| | - Maximilian Böhme
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
- Technische Universität Dresden, D-01062 Dresden, Germany
| | - Shigenori Tanaka
- Graduate School of System Informatics, Kobe University, Kobe 657-8501, Japan
| | - Jan Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf (HZDR), D-01328 Dresden, Germany
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17
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Yilmaz A, Hunger K, Dornheim T, Groth S, Bonitz M. Restricted configuration path integral Monte Carlo. J Chem Phys 2020; 153:124114. [DOI: 10.1063/5.0022800] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
Affiliation(s)
- A. Yilmaz
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
| | - K. Hunger
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
| | - T. Dornheim
- Center for Advanced Systems Understanding (CASUS), D-02826 Görlitz, Germany
| | - S. Groth
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
| | - M. Bonitz
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
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18
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Dornheim T, Vorberger J, Bonitz M. Nonlinear Electronic Density Response in Warm Dense Matter. PHYSICAL REVIEW LETTERS 2020; 125:085001. [PMID: 32909774 DOI: 10.1103/physrevlett.125.085001] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/09/2020] [Accepted: 07/20/2020] [Indexed: 06/11/2023]
Abstract
Warm dense matter (WDM)-an extreme state with high temperatures and densities that occurs, e.g., in astrophysical objects-constitutes one of the most active fields in plasma physics and materials science. These conditions can be realized in the lab by shock compression or laser excitation, and the most accurate experimental diagnostics is achieved with lasers and free electron lasers which is theoretically modeled using linear response theory. Here, we present first ab initio path integral Monte Carlo results for the nonlinear density response of correlated electrons in WDM and show that for many situations of experimental relevance nonlinear effects cannot be neglected.
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Affiliation(s)
- Tobias Dornheim
- Center for Advanced Systems Understanding (CASUS), D-028262 Görlitz, Germany
| | - Jan Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, D-01328 Dresden, Germany
| | - Michael Bonitz
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, D-24098 Kiel, Germany
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19
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X-ray Spectroscopies of High Energy Density Matter Created with X-ray Free Electron Lasers. APPLIED SCIENCES-BASEL 2019. [DOI: 10.3390/app9224812] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
The recent progress in the development of X-ray free electron lasers (XFELs) allows for the delivery of over 1011 high-energy photons to solid-density samples in a femtosecond time scale. The corresponding peak brightness of XFEL induces a nonlinear response of matter in a short-wavelength regime. The absorption of an XFEL pulse in a solid also results in the creation of high energy density (HED) matter. The electronic structure and related fundamental properties of such HED matter can be investigated with the control of XFEL and various X-ray spectroscopic techniques. These experimental data provide unique opportunities to benchmark theories and models for extreme conditions and to guide further advances. In this article, the current progress in spectroscopic studies on intense XFEL–matter interactions and HED matter are reviewed, and future research opportunities are discussed.
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20
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Beuermann TN, Redmer R, Bornath T. Thomson scattering from dense inhomogeneous plasmas. Phys Rev E 2019; 99:053205. [PMID: 31212444 DOI: 10.1103/physreve.99.053205] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/21/2018] [Indexed: 11/07/2022]
Abstract
X-ray Thomson scattering experiments in the soft and hard x-ray regime yield information on fundamental parameters of high-density systems. Pump-probe experiments with variable time delay provide insight into the excitation and relaxation dynamics in dense plasmas. On short time scales, a local thermodynamic equilibrium description might not be sufficient. Besides nonequilibrium effects on the electron distribution function, spatial inhomogeneities influence the scattering signal. Generalizing previous approaches of Belyi [Phys. Rev. E 97, 053204 (2018)2470-004510.1103/PhysRevE.97.053204] and Kozlowski et al. [Sci. Rep. 6, 24283 (2016)2045-232210.1038/srep24283], we discuss implications for Thomson scattering spectra for inhomogeneous plasmas in the warm dense matter regime based on a gradient expansion within real-time Green's-functions theory. Especially in the collective scattering regime, Thomson scattering spectra are modifed substantially by spatial inhomogeneities. Within a first-order gradient expansion, the dispersion relation for plasmons is determined. In particular, the ratio of the heights of the plasmon peaks is changed which prevents a simple estimation of the plasma temperature from the detailed balance relation.
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Affiliation(s)
- T-N Beuermann
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - R Redmer
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - Th Bornath
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
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21
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Kim JB, Schoenwaelder C, Glenzer SH. Development and characterization of liquid argon and methane microjets for high-rep-rate laser-plasma experiments. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2018; 89:10K105. [PMID: 30399803 DOI: 10.1063/1.5038561] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/03/2018] [Accepted: 07/12/2018] [Indexed: 06/08/2023]
Abstract
A cryogenic microjet system has been used for delivering micron-scale continuous liquid hydrogen targets for laser-plasma experiments. This technique has been extended to higher-Z, higher boiling-point gases, including argon and methane. High-resolution shadowgraphy has been used to characterize the jet's morphology and pointing stability. A split and delay illumination source has also been developed for direct measurement of jet speeds without relying on assumptions of fluid flow conditions. Under typical conditions, the argon jets freeze solid due to evaporative cooling, but the methane jets remain liquid and break up to a droplet stream. A piezo driver is used to ensure the droplets are of uniform size. This jet has enabled the investigation of methane in planetary core conditions with high-rep-rate laser heating and x-ray laser probing.
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Affiliation(s)
- Jongjin B Kim
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
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22
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Sauppe M, Rompotis D, Erk B, Bari S, Bischoff T, Boll R, Bomme C, Bostedt C, Dörner S, Düsterer S, Feigl T, Flückiger L, Gorkhover T, Kolatzki K, Langbehn B, Monserud N, Müller E, Müller JP, Passow C, Ramm D, Rolles D, Schubert K, Schwob L, Senfftleben B, Treusch R, Ulmer A, Weigelt H, Zimbalski J, Zimmermann J, Möller T, Rupp D. XUV double-pulses with femtosecond to 650 ps separation from a multilayer-mirror-based split-and-delay unit at FLASH. JOURNAL OF SYNCHROTRON RADIATION 2018; 25:1517-1528. [PMID: 30179193 PMCID: PMC6140391 DOI: 10.1107/s1600577518006094] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/09/2018] [Accepted: 04/20/2018] [Indexed: 06/08/2023]
Abstract
Extreme ultraviolet (XUV) and X-ray free-electron lasers enable new scientific opportunities. Their ultra-intense coherent femtosecond pulses give unprecedented access to the structure of undepositable nanoscale objects and to transient states of highly excited matter. In order to probe the ultrafast complex light-induced dynamics on the relevant time scales, the multi-purpose end-station CAMP at the free-electron laser FLASH has been complemented by the novel multilayer-mirror-based split-and-delay unit DESC (DElay Stage for CAMP) for time-resolved experiments. XUV double-pulses with delays adjustable from zero femtoseconds up to 650 picoseconds are generated by reflecting under near-normal incidence, exceeding the time range accessible with existing XUV split-and-delay units. Procedures to establish temporal and spatial overlap of the two pulses in CAMP are presented, with emphasis on the optimization of the spatial overlap at long time-delays via time-dependent features, for example in ion spectra of atomic clusters.
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Affiliation(s)
- Mario Sauppe
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Dimitrios Rompotis
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Benjamin Erk
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Sadia Bari
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Tobias Bischoff
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Rebecca Boll
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
- European XFEL GmbH, Holzkoppel 4, 22869 Schenefeld, Germany
| | - Cédric Bomme
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Christoph Bostedt
- Chemical Sciences and Engineering Division, Argonne National Laboratory, 9700 South Cass Avenue, Lemont, IL 60439, USA
- Department of Physics and Astronomy, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USA
| | - Simon Dörner
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Stefan Düsterer
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Torsten Feigl
- optiX fab GmbH, Hans-Knöll-Straße 6, 07745 Jena, Germany
| | - Leonie Flückiger
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
- ARC Centre of Advanced Molecular Imaging, Department of Chemistry and Physics, La Trobe University, Melbourne 3086, Australia
| | - Tais Gorkhover
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
- Stanford PULSE Institute, SLAC National Laboratory, Menlo Park, CA, USA
| | - Katharina Kolatzki
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Bruno Langbehn
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Nils Monserud
- Max-Born-Institut für Nichtlineare Optik und Kurzzeitspektroskopie, Max-Born-Straße 2A, 12489 Berlin, Germany
| | - Erland Müller
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Jan P. Müller
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Christopher Passow
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Daniel Ramm
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Daniel Rolles
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
- J. R. Macdonald Laboratory, Department of Physics, Kansas State University, Manhattan, KS 66506, USA
| | - Kaja Schubert
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Lucas Schwob
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Björn Senfftleben
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Rolf Treusch
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Anatoli Ulmer
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Holger Weigelt
- Deutsches Elektronen-Synchrotron DESY, Notkestraße 85, 22607 Hamburg, Germany
| | - Jannis Zimbalski
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Julian Zimmermann
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Thomas Möller
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
| | - Daniela Rupp
- Institut für Optik und Atomare Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
- Max-Born-Institut für Nichtlineare Optik und Kurzzeitspektroskopie, Max-Born-Straße 2A, 12489 Berlin, Germany
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23
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Chen Z, Mo M, Soulard L, Recoules V, Hering P, Tsui YY, Glenzer SH, Ng A. Interatomic Potential in the Nonequilibrium Warm Dense Matter Regime. PHYSICAL REVIEW LETTERS 2018; 121:075002. [PMID: 30169102 DOI: 10.1103/physrevlett.121.075002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/03/2017] [Revised: 06/04/2018] [Indexed: 06/08/2023]
Abstract
We present a new measurement of lattice disassembly times in femtosecond-laser-heated polycrystalline Au nanofoils. The results are compared with molecular dynamics simulations incorporating a highly optimized, embedded-atom-method interatomic potential. For absorbed energy densities of 0.9-4.3 MJ/kg, the agreement between the experiment and simulation reveals a single-crystal-like behavior of homogeneous melting and corroborates the applicability of the interatomic potential in the nonequilibrium warm dense matter regime. For energy densities below 0.9 MJ/kg, the measurement is consistent with nanocrystal behavior where melting is initiated at the grain boundaries.
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Affiliation(s)
- Z Chen
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - M Mo
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - L Soulard
- CEA, DAM, DIF, 91297 Arpajon, France
| | | | - P Hering
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Y Y Tsui
- Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta T6G-2V4, Canada
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - A Ng
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T-1Z1, Canada
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24
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Moldabekov ZA, Groth S, Dornheim T, Kählert H, Bonitz M, Ramazanov TS. Structural characteristics of strongly coupled ions in a dense quantum plasma. Phys Rev E 2018; 98:023207. [PMID: 30253556 DOI: 10.1103/physreve.98.023207] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/01/2018] [Indexed: 06/08/2023]
Abstract
The structural properties of strongly coupled ions in dense plasmas with moderately to strongly degenerate electrons are investigated in the framework of the one-component plasma model of ions interacting through a screened pair interaction potential. Special focus is put on the description of the electronic screening in the Singwi-Tosi-Land-Sjölander (STLS) approximation. Different cross-checks and analyses using ion potentials obtained from ground-state quantum Monte Carlo data, the random phase approximation (RPA), and existing analytical models are presented for the computation of the structural properties, such as the pair distribution and the static structure factor, of strongly coupled ions. The results are highly sensitive to the features of the screened pair interaction potential. This effect is particularly visible in the static structure factor. The applicability range of the screened potential computed from STLS is identified in terms of density and temperature of the electrons. It is demonstrated that at r_{s}>1, where r_{s} is the ratio of the mean interelectronic distance to the Bohr radius, electronic correlations beyond RPA have a nonnegligible effect on the structural properties. Additionally, the applicability of the hypernetted chain approximation for the calculation of the structural properties using the screened pair interaction potential is analyzed employing the effective coupling parameter approach.
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Affiliation(s)
- Zh A Moldabekov
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
- Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 71 Al-Farabi str., 050040 Almaty, Kazakhstan
| | - S Groth
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
| | - T Dornheim
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
| | - H Kählert
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
| | - M Bonitz
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
| | - T S Ramazanov
- Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 71 Al-Farabi str., 050040 Almaty, Kazakhstan
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25
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Mo C, Fu Z, Kang W, Zhang P, He XT. First-Principles Estimation of Electronic Temperature from X-Ray Thomson Scattering Spectrum of Isochorically Heated Warm Dense Matter. PHYSICAL REVIEW LETTERS 2018; 120:205002. [PMID: 29864337 DOI: 10.1103/physrevlett.120.205002] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/02/2017] [Revised: 03/24/2018] [Indexed: 06/08/2023]
Abstract
Through the perturbation formula of time-dependent density functional theory broadly employed in the calculation of solids, we provide a first-principles calculation of x-ray Thomson scattering spectrum of isochorically heated aluminum foil, as considered in the experiments of Sperling et al. [Phys. Rev. Lett. 115, 115001 (2015)PRLTAO0031-900710.1103/PhysRevLett.115.115001], where ions were constrained near their lattice positions. From the calculated spectra, we find that the electronic temperature cannot exceed 2 eV, much smaller than the previous estimation of 6 eV via the detailed balance relation. Our results may well be an indication of unique electronic properties of warm dense matter, which can be further illustrated by future experiments. The lower electronic temperature predicted partially relieves the concern on the heating of x-ray free electron laser to the sample when used in structure measurement.
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Affiliation(s)
- Chongjie Mo
- HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China
- School of Physics, Peking University, Beijing 100871, China
| | - Zhenguo Fu
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
| | - Wei Kang
- HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China
- College of Engineering, Peking University, Beijing 100871, China
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, China
| | - Ping Zhang
- HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, China
| | - X T He
- HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China
- Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
- Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, China
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26
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Zastrau U, Rödel C, Nakatsutsumi M, Feigl T, Appel K, Chen B, Döppner T, Fennel T, Fiedler T, Fletcher LB, Förster E, Gamboa E, Gericke DO, Göde S, Grote-Fortmann C, Hilbert V, Kazak L, Laarmann T, Lee HJ, Mabey P, Martinez F, Meiwes-Broer KH, Pauer H, Perske M, Przystawik A, Roling S, Skruszewicz S, Shihab M, Tiggesbäumker J, Toleikis S, Wünsche M, Zacharias H, Glenzer SH, Gregori G. A sensitive EUV Schwarzschild microscope for plasma studies with sub-micrometer resolution. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2018; 89:023703. [PMID: 29495844 DOI: 10.1063/1.5007950] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We present an extreme ultraviolet (EUV) microscope using a Schwarzschild objective which is optimized for single-shot sub-micrometer imaging of laser-plasma targets. The microscope has been designed and constructed for imaging the scattering from an EUV-heated solid-density hydrogen jet. Imaging of a cryogenic hydrogen target was demonstrated using single pulses of the free-electron laser in Hamburg (FLASH) free-electron laser at a wavelength of 13.5 nm. In a single exposure, we observe a hydrogen jet with ice fragments with a spatial resolution in the sub-micrometer range. In situ EUV imaging is expected to enable novel experimental capabilities for warm dense matter studies of micrometer-sized samples in laser-plasma experiments.
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Affiliation(s)
- U Zastrau
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - C Rödel
- Institute of Optics and Quantum Electronics, Friedrich-Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | | | - T Feigl
- optiX fab GmbH, Hans-Knöll-Strasse 6, 07745 Jena, Germany
| | - K Appel
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | - B Chen
- China Academy of Engineering Physics (CAEP), Mianyang, China
| | - T Döppner
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
| | - T Fennel
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - T Fiedler
- optiX fab GmbH, Hans-Knöll-Strasse 6, 07745 Jena, Germany
| | - L B Fletcher
- Stanford Linear Accelerator Center (SLAC), 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - E Förster
- Institute of Optics and Quantum Electronics, Friedrich-Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - E Gamboa
- Stanford Linear Accelerator Center (SLAC), 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - D O Gericke
- Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - S Göde
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
| | | | - V Hilbert
- Institute of Applied Physics, Friedrich-Schiller University Jena, Albert-Einstein-Strasse 15, 07745 Jena, Germany
| | - L Kazak
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - T Laarmann
- The Hamburg Centre for Ultrafast Imaging CUI, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - H J Lee
- Stanford Linear Accelerator Center (SLAC), 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - P Mabey
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - F Martinez
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - K-H Meiwes-Broer
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - H Pauer
- optiX fab GmbH, Hans-Knöll-Strasse 6, 07745 Jena, Germany
| | - M Perske
- optiX fab GmbH, Hans-Knöll-Strasse 6, 07745 Jena, Germany
| | - A Przystawik
- Deutsches Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
| | - S Roling
- Physikalisches Institut, Westfälische Wilhelms-Universität, Wilhelm-Klemm-Str. 10, 48149 Münster, Germany
| | - S Skruszewicz
- Institute of Optics and Quantum Electronics, Friedrich-Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - M Shihab
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - J Tiggesbäumker
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - S Toleikis
- Deutsches Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
| | - M Wünsche
- Institute of Optics and Quantum Electronics, Friedrich-Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - H Zacharias
- Physikalisches Institut, Westfälische Wilhelms-Universität, Wilhelm-Klemm-Str. 10, 48149 Münster, Germany
| | - S H Glenzer
- Stanford Linear Accelerator Center (SLAC), 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - G Gregori
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
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27
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Vorberger J, Chapman DA. Quantum theory for the dynamic structure factor in correlated two-component systems in nonequilibrium: Application to x-ray scattering. Phys Rev E 2018; 97:013203. [PMID: 29448372 DOI: 10.1103/physreve.97.013203] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/23/2017] [Indexed: 06/08/2023]
Abstract
We present a quantum theory for the dynamic structure factors in nonequilibrium, correlated, two-component systems such as plasmas or warm dense matter. The polarization function, which is needed as the input for the calculation of the structure factors, is calculated in nonequilibrium based on a perturbation expansion in the interaction strength. To make our theory applicable for x-ray scattering, a generalized Chihara decomposition for the total electron structure factor in nonequilibrium is derived. Examples are given and the influence of correlations and exchange on the structure and the x-ray-scattering spectrum are discussed for a model nonequilibrium distribution, as often encountered during laser heating of materials, as well as for two-temperature systems.
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Affiliation(s)
- J Vorberger
- Institute of Radiation Physics, Helmholtz-Zentrum Dresden-Rossendorf e.V., 01328 Dresden, Germany
| | - D A Chapman
- AWE plc, Aldermaston, Reading RG7 4PR, United Kingdom
- Centre for Fusion, Space and Astrophysics, University of Warwick, Coventry CV4 7AL, United Kingdom
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28
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Seddon EA, Clarke JA, Dunning DJ, Masciovecchio C, Milne CJ, Parmigiani F, Rugg D, Spence JCH, Thompson NR, Ueda K, Vinko SM, Wark JS, Wurth W. Short-wavelength free-electron laser sources and science: a review. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2017; 80:115901. [PMID: 29059048 DOI: 10.1088/1361-6633/aa7cca] [Citation(s) in RCA: 31] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
This review is focused on free-electron lasers (FELs) in the hard to soft x-ray regime. The aim is to provide newcomers to the area with insights into: the basic physics of FELs, the qualities of the radiation they produce, the challenges of transmitting that radiation to end users and the diversity of current scientific applications. Initial consideration is given to FEL theory in order to provide the foundation for discussion of FEL output properties and the technical challenges of short-wavelength FELs. This is followed by an overview of existing x-ray FEL facilities, future facilities and FEL frontiers. To provide a context for information in the above sections, a detailed comparison of the photon pulse characteristics of FEL sources with those of other sources of high brightness x-rays is made. A brief summary of FEL beamline design and photon diagnostics then precedes an overview of FEL scientific applications. Recent highlights are covered in sections on structural biology, atomic and molecular physics, photochemistry, non-linear spectroscopy, shock physics, solid density plasmas. A short industrial perspective is also included to emphasise potential in this area.
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Affiliation(s)
- E A Seddon
- ASTeC, STFC Daresbury Laboratory, Sci-Tech Daresbury, Keckwick Lane, Daresbury, Cheshire, WA4 4AD, United Kingdom. The School of Physics and Astronomy and Photon Science Institute, The University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom. The Cockcroft Institute, Sci-Tech Daresbury, Keckwick Lane, Daresbury, Cheshire, WA4 4AD, United Kingdom
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29
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Kim JB, Göde S, Glenzer SH. Development of a cryogenic hydrogen microjet for high-intensity, high-repetition rate experiments. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2016; 87:11E328. [PMID: 27910321 DOI: 10.1063/1.4961089] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The advent of high-intensity, high-repetition-rate lasers has led to the need for replenishing targets of interest for high energy density sciences. We describe the design and characterization of a cryogenic microjet source, which can deliver a continuous stream of liquid hydrogen with a diameter of a few microns. The jet has been imaged at 1 μm resolution by shadowgraphy with a short pulse laser. The pointing stability has been measured at well below a mrad, for a stable free-standing filament of solid-density hydrogen.
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Affiliation(s)
- J B Kim
- SLAC National Accelerator Laboratory, Menlo Park, California 94551, USA
| | - S Göde
- SLAC National Accelerator Laboratory, Menlo Park, California 94551, USA
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, California 94551, USA
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30
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Gauthier M, Kim JB, Curry CB, Aurand B, Gamboa EJ, Göde S, Goyon C, Hazi A, Kerr S, Pak A, Propp A, Ramakrishna B, Ruby J, Willi O, Williams GJ, Rödel C, Glenzer SH. High-intensity laser-accelerated ion beam produced from cryogenic micro-jet target. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2016; 87:11D827. [PMID: 27910336 DOI: 10.1063/1.4961270] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We report on the successful operation of a newly developed cryogenic jet target at high intensity laser-irradiation. Using the frequency-doubled Titan short pulse laser system at Jupiter Laser Facility, Lawrence Livermore National Laboratory, we demonstrate the generation of a pure proton beam a with maximum energy of 2 MeV. Furthermore, we record a quasi-monoenergetic peak at 1.1 MeV in the proton spectrum emitted in the laser forward direction suggesting an alternative acceleration mechanism. Using a solid-density mixed hydrogen-deuterium target, we are also able to produce pure proton-deuteron ion beams. With its high purity, limited size, near-critical density, and high-repetition rate capability, this target is promising for future applications.
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Affiliation(s)
- M Gauthier
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - J B Kim
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - C B Curry
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - B Aurand
- Heinrich-Heine-University Düsseldorf, Düsseldorf, Germany
| | - E J Gamboa
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - S Göde
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - C Goyon
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - A Hazi
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - S Kerr
- University of Alberta, Edmonton, Alberta T6G 1R1, Canada
| | - A Pak
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - A Propp
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | | | - J Ruby
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - O Willi
- Heinrich-Heine-University Düsseldorf, Düsseldorf, Germany
| | - G J Williams
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - C Rödel
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
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31
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Zastrau U, Göde S, Nakatsutsumi M. How X-ray Free Electron Lasers Enable Ultrafast Dynamics Studies in High-Energy-Density Science. ACTA ACUST UNITED AC 2016. [DOI: 10.1080/08940886.2016.1220275] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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32
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Kraus D, Chapman DA, Kritcher AL, Baggott RA, Bachmann B, Collins GW, Glenzer SH, Hawreliak JA, Kalantar DH, Landen OL, Ma T, Le Pape S, Nilsen J, Swift DC, Neumayer P, Falcone RW, Gericke DO, Döppner T. X-ray scattering measurements on imploding CH spheres at the National Ignition Facility. Phys Rev E 2016; 94:011202. [PMID: 27575070 DOI: 10.1103/physreve.94.011202] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2015] [Indexed: 06/06/2023]
Abstract
We have performed spectrally resolved x-ray scattering measurements on highly compressed polystyrene at pressures of several tens of TPa (100 Mbar) created by spherically convergent shocks at the National Ignition Facility. Scattering data of line radiation at 9.0 keV were recorded from the dense plasma shortly after shock coalescence. Accounting for spatial gradients, opacity effects, and source broadening, we demonstrate the sensitivity of the elastic scattering component to carbon K-shell ionization while at the same time constraining the temperature of the dense plasma. For six times compressed polystyrene, we find an average temperature of 86 eV and carbon ionization state of 4.9, indicating that widely used ionization models need revision in order to be suitable for the extreme states of matter tested in our experiment.
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Affiliation(s)
- D Kraus
- Department of Physics, University of California, Berkeley, California 94720, USA
| | - D A Chapman
- Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
- Plasma Physics Group, Radiation Physics Department, AWE plc, Reading RG7 4PR, United Kingdom
| | - A L Kritcher
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - R A Baggott
- Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - B Bachmann
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - G W Collins
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, California 94309, USA
| | - J A Hawreliak
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
- Institute for Shock Physics, Washington State University, Pullman, Washington 99164, USA
| | - D H Kalantar
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - O L Landen
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - T Ma
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - S Le Pape
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - J Nilsen
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - D C Swift
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - P Neumayer
- GSI Helmholtzzentrum für Schwerionenforschung, 64291 Darmstadt, Germany
| | - R W Falcone
- Department of Physics, University of California, Berkeley, California 94720, USA
| | - D O Gericke
- Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - T Döppner
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
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33
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Time-resolved observation of band-gap shrinking and electron-lattice thermalization within X-ray excited gallium arsenide. Sci Rep 2015; 5:18068. [PMID: 26655671 PMCID: PMC4676029 DOI: 10.1038/srep18068] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/29/2015] [Accepted: 09/28/2015] [Indexed: 12/19/2022] Open
Abstract
Femtosecond X-ray irradiation of solids excites energetic photoelectrons that thermalize on a timescale of a few hundred femtoseconds. The thermalized electrons exchange energy with the lattice and heat it up. Experiments with X-ray free-electron lasers have unveiled so far the details of the electronic thermalization. In this work we show that the data on transient optical reflectivity measured in GaAs irradiated with femtosecond X-ray pulses can be used to follow electron-lattice relaxation up to a few tens of picoseconds. With a dedicated theoretical framework, we explain the so far unexplained reflectivity overshooting as a result of band-gap shrinking. We also obtain predictions for a timescale of electron-lattice thermalization, initiated by conduction band electrons in the temperature regime of a few eVs. The conduction and valence band carriers were then strongly non-isothermal. The presented scheme is of general applicability and can stimulate further studies of relaxation within X-ray excited narrow band-gap semiconductors.
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34
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Bang W, Albright BJ, Bradley PA, Vold EL, Boettger JC, Fernández JC. Uniform heating of materials into the warm dense matter regime with laser-driven quasimonoenergetic ion beams. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 92:063101. [PMID: 26764832 DOI: 10.1103/physreve.92.063101] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/10/2015] [Indexed: 06/05/2023]
Abstract
In a recent experiment at the Trident laser facility, a laser-driven beam of quasimonoenergetic aluminum ions was used to heat solid gold and diamond foils isochorically to 5.5 and 1.7 eV, respectively. Here theoretical calculations are presented that suggest the gold and diamond were heated uniformly by these laser-driven ion beams. According to calculations and SESAME equation-of-state tables, laser-driven aluminum ion beams achievable at Trident, with a finite energy spread of ΔE/E∼20%, are expected to heat the targets more uniformly than a beam of 140-MeV aluminum ions with zero energy spread. The robustness of the expected heating uniformity relative to the changes in the incident ion energy spectra is evaluated, and expected plasma temperatures of various target materials achievable with the current experimental platform are presented.
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Affiliation(s)
- W Bang
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - B J Albright
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - P A Bradley
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - E L Vold
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - J C Boettger
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - J C Fernández
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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35
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Plagemann KU, Rüter HR, Bornath T, Shihab M, Desjarlais MP, Fortmann C, Glenzer SH, Redmer R. Ab initio calculation of the ion feature in x-ray Thomson scattering. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 92:013103. [PMID: 26274290 DOI: 10.1103/physreve.92.013103] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/10/2015] [Indexed: 06/04/2023]
Abstract
The spectrum of x-ray Thomson scattering is proportional to the dynamic structure factor. An important contribution is the ion feature which describes elastic scattering of x rays off electrons. We apply an ab initio method for the calculation of the form factor of bound electrons, the slope of the screening cloud of free electrons, and the ion-ion structure factor in warm dense beryllium. With the presented method we can calculate the ion feature from first principles. These results will facilitate a better understanding of x-ray scattering in warm dense matter and an accurate measurement of ion temperatures which would allow determining nonequilibrium conditions, e.g., along shock propagation.
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Affiliation(s)
| | - Hannes R Rüter
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - Thomas Bornath
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - Mohammed Shihab
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
- Physics Department, Faculty of Science, Tanta University, 31527 Tanta, Egypt
| | | | - Carsten Fortmann
- Quantumwise A/S, Lersø Parkallé 107, DK-2100 Copenhagen, Denmark
| | - Siegfried H Glenzer
- High Energy Density Science, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Ronald Redmer
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
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36
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Vorberger J, Gericke DO. Ab initio approach to model x-ray diffraction in warm dense matter. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:033112. [PMID: 25871229 DOI: 10.1103/physreve.91.033112] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/20/2014] [Indexed: 06/04/2023]
Abstract
It is demonstrated how the static electron-electron structure factor in warm dense matter can be obtained from density functional theory in combination with quantum Monte Carlo data. In contrast to theories assuming well-separated bound and free states, this ab initio approach yields also valid results for systems close to the Mott transition (pressure ionization), where bound states are strongly modified and merge with the continuum. The approach is applied to x-ray Thomson scattering and compared to predictions of the Chihara formula whereby we use the ion-ion and electron-ion structure from the same simulations. The results show significant deviations of the screening cloud from the often applied Debye-like form.
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Affiliation(s)
- J Vorberger
- Max-Planck-Institut für die Physik Komplexer Systeme, 01187 Dresden, Germany
| | - D O Gericke
- Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
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37
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Moldabekov Z, Ludwig P, Bonitz M, Ramazanov T. Ion potential in warm dense matter: wake effects due to streaming degenerate electrons. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:023102. [PMID: 25768613 DOI: 10.1103/physreve.91.023102] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/01/2014] [Indexed: 06/04/2023]
Abstract
The effective dynamically screened potential of a classical ion in a stationary flowing quantum plasma at finite temperature is investigated. This is a key quantity for thermodynamics and transport of dense plasmas in the warm-dense-matter regime. This potential has been studied before within hydrodynamic approaches or based on the zero temperature Lindhard dielectric function. Here we extend the kinetic analysis by including the effects of finite temperature and of collisions based on the Mermin dielectric function. The resulting ion potential exhibits an oscillatory structure with attractive minima (wakes) and, thus, strongly deviates from the static Yukawa potential of equilibrium plasmas. This potential is analyzed in detail for high-density plasmas with values of the Brueckner parameter in the range 0.1≤r(s)≤1 for a broad range of plasma temperature and electron streaming velocity. It is shown that wake effects become weaker with increasing temperature of the electrons. Finally, we obtain the minimal electron streaming velocity for which attraction between ions occurs. This velocity turns out to be less than the electron Fermi velocity. Our results allow for reliable predictions of the strength of wake effects in nonequilibrium quantum plasmas with fast streaming electrons showing that these effects are crucial for transport under warm-dense-matter conditions, in particular for laser-matter interaction, electron-ion temperature equilibration, and stopping power.
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Affiliation(s)
- Zhandos Moldabekov
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraβe 15, 24098 Kiel, Germany
- Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 71 Al-Farabi str., 050040 Almaty, Kazakhstan
| | - Patrick Ludwig
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraβe 15, 24098 Kiel, Germany
| | - Michael Bonitz
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraβe 15, 24098 Kiel, Germany
| | - Tlekkabul Ramazanov
- Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 71 Al-Farabi str., 050040 Almaty, Kazakhstan
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38
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Zastrau U, Sperling P, Becker A, Bornath T, Bredow R, Döppner T, Dziarzhytski S, Fennel T, Fletcher LB, Förster E, Fortmann C, Glenzer SH, Göde S, Gregori G, Harmand M, Hilbert V, Holst B, Laarmann T, Lee HJ, Ma T, Mithen JP, Mitzner R, Murphy CD, Nakatsutsumi M, Neumayer P, Przystawik A, Roling S, Schulz M, Siemer B, Skruszewicz S, Tiggesbäumker J, Toleikis S, Tschentscher T, White T, Wöstmann M, Zacharias H, Redmer R. Equilibration dynamics and conductivity of warm dense hydrogen. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:013104. [PMID: 25122398 DOI: 10.1103/physreve.90.013104] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/14/2014] [Indexed: 06/03/2023]
Abstract
We investigate subpicosecond dynamics of warm dense hydrogen at the XUV free-electron laser facility (FLASH) at DESY (Hamburg). Ultrafast impulsive electron heating is initiated by a ≤ 300-fs short x-ray burst of 92-eV photon energy. A second pulse probes the sample via x-ray scattering at jitter-free variable time delay. We show that the initial molecular structure dissociates within (0.9 ± 0.2) ps, allowing us to infer the energy transfer rate between electrons and ions. We evaluate Saha and Thomas-Fermi ionization models in radiation hydrodynamics simulations, predicting plasma parameters that are subsequently used to calculate the static structure factor. A conductivity model for partially ionized plasma is validated by two-temperature density-functional theory coupled to molecular dynamic simulations and agrees with the experimental data. Our results provide important insights and the needed experimental data on transport properties of dense plasmas.
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Affiliation(s)
- U Zastrau
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, Germany and SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - P Sperling
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - A Becker
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - T Bornath
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - R Bredow
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - T Döppner
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
| | - S Dziarzhytski
- Deutsches Elektronen-Synchrotron, Notkestrasse 85, D-22607 Hamburg, Germany
| | - T Fennel
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - L B Fletcher
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - E Förster
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, Germany and Helmholtz-Institut Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - C Fortmann
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
| | - S H Glenzer
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - S Göde
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA and Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - G Gregori
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - M Harmand
- Deutsches Elektronen-Synchrotron, Notkestrasse 85, D-22607 Hamburg, Germany
| | - V Hilbert
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, Germany
| | - B Holst
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - T Laarmann
- Deutsches Elektronen-Synchrotron, Notkestrasse 85, D-22607 Hamburg, Germany and The Hamburg Centre for Ultrafast Imaging, 22761 Hamburg, Germany
| | - H J Lee
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - T Ma
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
| | - J P Mithen
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - R Mitzner
- Physikalisches Institut, Westfälische Wilhelms-Universität, Wilhelm-Klemm-Straße 10, 48149 Münster, Germany
| | - C D Murphy
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - M Nakatsutsumi
- European XFEL, Albert-Einstein-Ring 19, 22761 Hamburg, Germany
| | - P Neumayer
- Extreme Matter Institute, GSI Helmholtzzentrum für Schwerionenforschung, 64291 Darmstadt, Germany
| | - A Przystawik
- Deutsches Elektronen-Synchrotron, Notkestrasse 85, D-22607 Hamburg, Germany
| | - S Roling
- Physikalisches Institut, Westfälische Wilhelms-Universität, Wilhelm-Klemm-Straße 10, 48149 Münster, Germany
| | - M Schulz
- Deutsches Elektronen-Synchrotron, Notkestrasse 85, D-22607 Hamburg, Germany
| | - B Siemer
- Physikalisches Institut, Westfälische Wilhelms-Universität, Wilhelm-Klemm-Straße 10, 48149 Münster, Germany
| | - S Skruszewicz
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - J Tiggesbäumker
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - S Toleikis
- Deutsches Elektronen-Synchrotron, Notkestrasse 85, D-22607 Hamburg, Germany
| | - T Tschentscher
- European XFEL, Albert-Einstein-Ring 19, 22761 Hamburg, Germany
| | - T White
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - M Wöstmann
- Physikalisches Institut, Westfälische Wilhelms-Universität, Wilhelm-Klemm-Straße 10, 48149 Münster, Germany
| | - H Zacharias
- Physikalisches Institut, Westfälische Wilhelms-Universität, Wilhelm-Klemm-Straße 10, 48149 Münster, Germany
| | - R Redmer
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
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