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Chu F, LaJoie AL, Keenan BD, Webster L, Langendorf SJ, Gilmore MA. Experimental Measurements of Ion Diffusion Coefficients and Heating in a Multi-Ion-Species Plasma Shock. Phys Rev Lett 2023; 130:145101. [PMID: 37084442 DOI: 10.1103/physrevlett.130.145101] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/16/2022] [Revised: 10/12/2022] [Accepted: 03/06/2023] [Indexed: 05/03/2023]
Abstract
Collisional plasma shocks generated from supersonic flows are an important feature in many astrophysical and laboratory high-energy-density plasmas. Compared to single-ion-species plasma shocks, plasma shock fronts with multiple ion species contain additional structure, including interspecies ion separation driven by gradients in species concentration, temperature, pressure, and electric potential. We present time-resolved density and temperature measurements of two ion species in collisional plasma shocks produced by head-on merging of supersonic plasma jets, allowing determination of the ion diffusion coefficients. Our results provide the first experimental validation of the fundamental inter-ion-species transport theory. The temperature separation, a higher-order effect reported here, is valuable for advancements in modeling HED and ICF experiments.
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Affiliation(s)
- F Chu
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - A L LaJoie
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
- Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, New Mexico 87131, USA
| | - B D Keenan
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - L Webster
- Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, New Mexico 87131, USA
| | - S J Langendorf
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - M A Gilmore
- Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, New Mexico 87131, USA
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Nakanotani M, Camata RP, Arslanbekov RR, Zank GP. Collisional magnetized shock waves: One-dimensional full particle-in-cell simulations. Phys Rev E 2022; 105:045209. [PMID: 35590652 DOI: 10.1103/physreve.105.045209] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/11/2022] [Accepted: 04/08/2022] [Indexed: 06/15/2023]
Abstract
Although collisional electrostatic shock waves have been investigated extensively via theory, simulations, and experiments, there are comparatively few studies about collisional magnetized shock waves. We investigate collisional magnetized shocks by performing one-dimensional full particle-in-cell simulations that incorporate ion-ion, electron-electron, and ion-electron Coulomb collisions, for perpendicular and quasiparallel shock waves. The effect of Coulomb collisions is to drive a shock wave into a more laminar state. For a perpendicular shock, the magnetic overshoot becomes small because the electron pressure perpendicular to the magnetic field is isotropized and decreases due to electron-electron collisions. For the quasiparallel case, we find that ion-electron collisions severely suppress the standing whistler wave, which is present in the form of large amplitude waves in a collisionless shock wave.
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Affiliation(s)
- Masaru Nakanotani
- Center for Space Plasma and Aeronomic Research (CSPAR), University of Alabama in Huntsville, Huntsville, Alabama 35805, USA
| | - Renato P Camata
- Department of Physics, University of Alabama at Birmingham, Birmingham, Alabama 35294, USA
| | | | - Gary P Zank
- Center for Space Plasma and Aeronomic Research (CSPAR), University of Alabama in Huntsville, Huntsville, Alabama 35805, USA and Department of Space Science, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA
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Swadling GF, Bruulsema C, Fiuza F, Higginson DP, Huntington CM, Park HS, Pollock BB, Rozmus W, Rinderknecht HG, Katz J, Birkel A, Ross JS. Measurement of Kinetic-Scale Current Filamentation Dynamics and Associated Magnetic Fields in Interpenetrating Plasmas. Phys Rev Lett 2020; 124:215001. [PMID: 32530650 DOI: 10.1103/physrevlett.124.215001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/16/2019] [Revised: 09/20/2019] [Accepted: 05/05/2020] [Indexed: 06/11/2023]
Abstract
We present the first local, quantitative measurements of ion current filamentation and magnetic field amplification in interpenetrating plasmas, characterizing the dynamics of the ion Weibel instability. The interaction of a pair of laser-generated, counterpropagating, collisionless, supersonic plasma flows is probed using optical Thomson scattering (TS). Analysis of the TS ion-feature revealed anticorrelated modulations in the density of the two ion streams at the spatial scale of the ion skin depth c/ω_{pi}=120 μm, and a correlated modulation in the plasma current. The inferred current profile implies a magnetic field amplitude ∼30±6 T, corresponding to ∼1% of the flow kinetic energy, indicating that magnetic trapping is the dominant saturation mechanism.
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Affiliation(s)
- G F Swadling
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - C Bruulsema
- Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - F Fiuza
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - D P Higginson
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - C M Huntington
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - H-S Park
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - B B Pollock
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - W Rozmus
- Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - H G Rinderknecht
- Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14623, USA
| | - J Katz
- Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14623, USA
| | - A Birkel
- Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - J S Ross
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
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Schillo K, Cassibry J, Rodriguez M, Thompson S. Suite for Smooth Particle Hydrodynamic Code Relevant to Spherical Plasma Liner Formation and Implosion. Journal of Nuclear Engineering and Radiation Science 2019. [DOI: 10.1115/1.4042710] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
Three-dimensional (3D) modeling of magneto-inertial fusion (MIF) is at a nascent stage of development. A suite of test cases relevant to plasma liner formation and implosion is presented to present the community with some exact solutions for verification of hydrocodes pertaining to MIF confinement concepts. MIF is of particular interest to fusion research, as it may lead to the development of smaller and more economical reactor designs for power and propulsion. The authors present simulated test cases using a new smoothed particle hydrodynamic (SPH) code called SPFMax. These test cases consist of a total of six problems with analytical solutions that incorporate the physics of radiation cooling, heat transfer, oblique-shock capturing, angular-momentum conservation, and viscosity effects. These physics are pertinent to plasma liner formation and implosion by merging of a spherical array of plasma jets as a candidate standoff driver for MIF. An L2 norm analysis was conducted for each test case. Each test case was found to converge to the analytical solution with increasing resolution, and the convergence rate was on the order of what has been reported by other SPH studies.
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Affiliation(s)
- Kevin Schillo
- Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, 301 Sparkman Dr NW, Huntsville, AL 35899
| | - Jason Cassibry
- Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, 301 Sparkman Dr NW, Huntsville, AL 35899
| | - Mitchell Rodriguez
- Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, 301 Sparkman Dr NW, Huntsville, AL 35899
| | - Seth Thompson
- Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, 301 Sparkman Dr NW, Huntsville, AL 35899
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Langendorf SJ, Yates KC, Hsu SC, Thoma C, Gilmore M. Experimental Measurements of Ion Heating in Collisional Plasma Shocks and Interpenetrating Supersonic Plasma Flows. Phys Rev Lett 2018; 121:185001. [PMID: 30444415 DOI: 10.1103/physrevlett.121.185001] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/21/2018] [Revised: 09/26/2018] [Indexed: 06/09/2023]
Abstract
We present time-resolved measurements of ion heating due to collisional plasma shocks and interpenetrating supersonic plasma flows, which are formed by the oblique merging of two coaxial-gun-formed plasma jets. Our study is repeated using four jet species: N, Ar, Kr, and Xe. In conditions with small interpenetration between jets, the observed peak ion temperature T_{i} is consistent with the predictions of collisional plasma-shock theory showing a substantial elevation of T_{i} above the electron temperature T_{e} and also the subsequent decrease of T_{i} on the classical ion-electron temperature-equilibration timescale. In conditions of significant interpenetration between jets, such that shocks do not apparently form, the observed peak T_{i} is still appreciable and greater than T_{e} but much lower than that predicted by collisional plasma-shock theory. Experimental results are compared with multifluid plasma simulations.
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Affiliation(s)
| | - Kevin C Yates
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
- University of New Mexico, Albuquerque, New Mexico 87131, USA
| | - Scott C Hsu
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | | | - Mark Gilmore
- University of New Mexico, Albuquerque, New Mexico 87131, USA
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Rinderknecht HG, Park HS, Ross JS, Amendt PA, Higginson DP, Wilks SC, Haberberger D, Katz J, Froula DH, Hoffman NM, Kagan G, Keenan BD, Vold EL. Highly Resolved Measurements of a Developing Strong Collisional Plasma Shock. Phys Rev Lett 2018; 120:095001. [PMID: 29547332 DOI: 10.1103/physrevlett.120.095001] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/30/2017] [Revised: 01/26/2018] [Indexed: 06/08/2023]
Abstract
The structure of a strong collisional shock front forming in a plasma is directly probed for the first time in laser-driven gas-jet experiments. Thomson scattering of a 526.5 nm probe beam was used to diagnose temperature and ion velocity distribution in a strong shock (M∼11) propagating through a low-density (ρ∼0.01 mg/cc) plasma composed of hydrogen. A forward-streaming population of ions traveling in excess of the shock velocity was observed to heat and slow down on an unmoving, unshocked population of cold protons, until ultimately the populations merge and begin to thermalize. Instabilities are observed during the merging, indicating a uniquely plasma-phase process in shock front formation.
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Affiliation(s)
| | - H-S Park
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - J S Ross
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - P A Amendt
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - D P Higginson
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - S C Wilks
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - D Haberberger
- Laboratory for Laser Energetics, Rochester, New York 14623, USA
| | - J Katz
- Laboratory for Laser Energetics, Rochester, New York 14623, USA
| | - D H Froula
- Laboratory for Laser Energetics, Rochester, New York 14623, USA
| | - N M Hoffman
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - G Kagan
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - B D Keenan
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - E L Vold
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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Marcowith A, Bret A, Bykov A, Dieckman ME, Drury LO, Lembège B, Lemoine M, Morlino G, Murphy G, Pelletier G, Plotnikov I, Reville B, Riquelme M, Sironi L, Novo AS. The microphysics of collisionless shock waves. Rep Prog Phys 2016; 79:046901. [PMID: 27007555 DOI: 10.1088/0034-4885/79/4/046901] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Collisionless shocks, that is shocks mediated by electromagnetic processes, are customary in space physics and in astrophysics. They are to be found in a great variety of objects and environments: magnetospheric and heliospheric shocks, supernova remnants, pulsar winds and their nebulæ, active galactic nuclei, gamma-ray bursts and clusters of galaxies shock waves. Collisionless shock microphysics enters at different stages of shock formation, shock dynamics and particle energization and/or acceleration. It turns out that the shock phenomenon is a multi-scale non-linear problem in time and space. It is complexified by the impact due to high-energy cosmic rays in astrophysical environments. This review adresses the physics of shock formation, shock dynamics and particle acceleration based on a close examination of available multi-wavelength or in situ observations, analytical and numerical developments. A particular emphasis is made on the different instabilities triggered during the shock formation and in association with particle acceleration processes with regards to the properties of the background upstream medium. It appears that among the most important parameters the background magnetic field through the magnetization and its obliquity is the dominant one. The shock velocity that can reach relativistic speeds has also a strong impact over the development of the micro-instabilities and the fate of particle acceleration. Recent developments of laboratory shock experiments has started to bring some new insights in the physics of space plasma and astrophysical shock waves. A special section is dedicated to new laser plasma experiments probing shock physics.
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Affiliation(s)
- A Marcowith
- Laboratoire Univers et Particules de Montpellier CNRS/Université de Montpellier, Place E. Bataillon, 34095 Montpellier, France
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Wurden GA, Hsu SC, Intrator TP, Grabowski TC, Degnan JH, Domonkos M, Turchi PJ, Campbell EM, Sinars DB, Herrmann MC, Betti R, Bauer BS, Lindemuth IR, Siemon RE, Miller RL, Laberge M, Delage M. Magneto-Inertial Fusion. J Fusion Energ 2016; 35:69-77. [DOI: 10.1007/s10894-015-0038-x] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Adams CS, Moser AL, Hsu SC. Observation of Rayleigh-Taylor-instability evolution in a plasma with magnetic and viscous effects. Phys Rev E Stat Nonlin Soft Matter Phys 2015; 92:051101. [PMID: 26651638 DOI: 10.1103/physreve.92.051101] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/17/2014] [Indexed: 06/05/2023]
Abstract
We present time-resolved observations of Rayleigh-Taylor-instability (RTI) evolution at the interface between an unmagnetized plasma jet colliding with a stagnated, magnetized plasma. The observed instability growth time (∼10 μs) is consistent with the estimated linear RTI growth rate calculated using experimentally inferred values of density (∼10(14) cm(-3)) and deceleration (∼10(9) m/s(2)). The observed mode wavelength (≳1 cm) nearly doubles within a linear growth time. Theoretical estimates of magnetic and viscous stabilization and idealized magnetohydrodynamic simulations including a physical viscosity model both suggest that the observed instability evolution is subject to magnetic and/or viscous effects.
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Affiliation(s)
- Colin S Adams
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
- University of New Mexico, Albuquerque, New Mexico 87131, USA
| | - Auna L Moser
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Scott C Hsu
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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