1
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Yu N, Huang D, Lu S, Khrapak S, Feng Y. Universal scaling of transverse sound speed and its isomorphic property in Yukawa fluids. Phys Rev E 2024; 109:035202. [PMID: 38632806 DOI: 10.1103/physreve.109.035202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2024] [Accepted: 02/13/2024] [Indexed: 04/19/2024]
Abstract
Molecular dynamical simulations are performed to investigate the scaling of the transverse sound speed in two-dimensional (2D) and 3D Yukawa fluids. From the calculated diagnostics of the radial distribution function, the mean-squared displacement, and the Pearson correlation coefficient, the approximate isomorphic curves for 2D and 3D liquidlike Yukawa systems are obtained. It is found that the structure and dynamics of 2D and 3D liquidlike Yukawa systems exhibit the isomorphic property under the conditions of the same relative coupling parameter Γ/Γ_{m}=const. It is demonstrated that the reduced transverse sound speed, i.e., the ratio of the transverse sound speed to the thermal speed, is an isomorph invariant, which is a quasiuniversal function of Γ/Γ_{m}. The obtained isomorph invariant of the reduced transverse sound speed can be useful to estimate the transverse sound speed, or determine the coupling strength, with applications to dusty (complex) plasma or colloidal systems.
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Affiliation(s)
- Nichen Yu
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Dong Huang
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Shaoyu Lu
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Sergey Khrapak
- Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia
| | - Yan Feng
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
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2
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Kalz E, Vuijk HD, Sommer JU, Metzler R, Sharma A. Oscillatory Force Autocorrelations in Equilibrium Odd-Diffusive Systems. PHYSICAL REVIEW LETTERS 2024; 132:057102. [PMID: 38364150 DOI: 10.1103/physrevlett.132.057102] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/02/2023] [Revised: 07/19/2023] [Accepted: 11/28/2023] [Indexed: 02/18/2024]
Abstract
The force autocorrelation function (FACF), a concept of fundamental interest in statistical mechanics, encodes the effect of interactions on the dynamics of a tagged particle. In equilibrium, the FACF is believed to decay monotonically in time, which is a signature of slowing down of the dynamics of the tagged particle due to interactions. Here, we analytically show that in odd-diffusive systems, which are characterized by a diffusion tensor with antisymmetric elements, the FACF can become negative and even exhibit temporal oscillations. We also demonstrate that, despite the isotropy, the knowledge of FACF alone is not sufficient to describe the dynamics: the full autocorrelation tensor is required and contains an antisymmetric part. These unusual properties translate into enhanced dynamics of the tagged particle quantified via the self-diffusion coefficient that, remarkably, increases due to particle interactions.
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Affiliation(s)
- Erik Kalz
- University of Potsdam, Institute of Physics and Astronomy, D-14476 Potsdam, Germany
| | - Hidde Derk Vuijk
- University of Augsburg, Institute of Physics, D-86159 Augsburg, Germany
| | - Jens-Uwe Sommer
- Leibniz-Institute for Polymer Research, Institute Theory of Polymers, D-01069 Dresden, Germany
- Technical University of Dresden, Institute for Theoretical Physics, D-01069 Dresden, Germany
- Technical University of Dresden, Cluster of Excellence Physics of Life, D-01069 Dresden, Germany
| | - Ralf Metzler
- University of Potsdam, Institute of Physics and Astronomy, D-14476 Potsdam, Germany
- Asia Pacific Centre for Theoretical Physics, KR-37673 Pohang, Republic of Korea
| | - Abhinav Sharma
- University of Augsburg, Institute of Physics, D-86159 Augsburg, Germany
- Leibniz-Institute for Polymer Research, Institute Theory of Polymers, D-01069 Dresden, Germany
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3
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Ge Z, Huang D, Lu S, Liang C, Baggioli M, Feng Y. Observation of fast sound in two-dimensional dusty plasma liquids. Phys Rev E 2023; 107:055211. [PMID: 37328975 DOI: 10.1103/physreve.107.055211] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2023] [Accepted: 05/05/2023] [Indexed: 06/18/2023]
Abstract
Equilibrium molecular dynamics simulations are performed to study two-dimensional (2D) dusty plasma liquids. Based on the stochastic thermal motion of simulated particles, the longitudinal and transverse phonon spectra are calculated, and used to determine the corresponding dispersion relations. From there, the longitudinal and transverse sound speeds of 2D dusty plasma liquids are obtained. It is discovered that, for wavenumbers beyond the hydrodynamic regime, the longitudinal sound speed of a 2D dusty plasma liquid exceeds its adiabatic value, i.e., the so-called fast sound. This phenomenon appears at roughly the same length scale of the cutoff wavenumber for transverse waves, confirming its relation to the emergent solidity of liquids in the nonhydrodynamic regime. Using the thermodynamic and transport coefficients extracted from the previous studies, and relying on the Frenkel theory, the ratio of the longitudinal to the adiabatic sound speeds is derived analytically, providing the optimal conditions for fast sound, which are in quantitative agreement with the current simulation results.
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Affiliation(s)
- Zhenyu Ge
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Dong Huang
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Shaoyu Lu
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Chen Liang
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
| | - Matteo Baggioli
- Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China and Shanghai Research Center for Quantum Sciences, Shanghai 201315, China
| | - Yan Feng
- Institute of Plasma Physics and Technology, School of Physical Science and Technology, Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou 215006, China
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4
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Abdoli I, Löwen H, Sommer JU, Sharma A. Tailoring the escape rate of a Brownian particle by combining a vortex flow with a magnetic field. J Chem Phys 2023; 158:101101. [PMID: 36922145 DOI: 10.1063/5.0139830] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/22/2023] Open
Abstract
The probability per unit time for a thermally activated Brownian particle to escape over a potential well is, in general, well-described by Kramers's theory. Kramers showed that the escape time decreases exponentially with increasing barrier height. The dynamics slow down when the particle is charged and subjected to a Lorentz force due to an external magnetic field. This is evident via a rescaling of the diffusion coefficient entering as a prefactor in the Kramers's escape rate without any impact on the barrier-height-dependent exponent. Here, we show that the barrier height can be effectively changed when the charged particle is subjected to a vortex flow. While the vortex alone does not affect the mean escape time of the particle, when combined with a magnetic field, it effectively pushes the fluctuating particle either radially outside or inside depending on its sign relative to that of the magnetic field. In particular, the effective potential over which the particle escapes can be changed to a flat, a stable, and an unstable potential by tuning the signs and magnitudes of the vortex and the applied magnetic field. Notably, the last case corresponds to enhanced escape dynamics.
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Affiliation(s)
- I Abdoli
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Germany
| | - H Löwen
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Düsseldorf 40225, Germany
| | - J-U Sommer
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Germany
| | - A Sharma
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Germany
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5
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Matevosyan A, Allahverdyan AE. Lasting effects of static magnetic field on classical Brownian motion. Phys Rev E 2023; 107:014125. [PMID: 36797945 DOI: 10.1103/physreve.107.014125] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/13/2022] [Accepted: 12/21/2022] [Indexed: 06/18/2023]
Abstract
The Bohr-Van Leeuwen theorem states that an external static magnetic field does not influence the state of a classical equilibrium system: There is no equilibrium classical magnetism, since the magnetic field does not do work. We revisit this famous no-go result and consider a classical charged Brownian particle interacting with an equilibrium bath. We confirm that the Bohr-Van Leeuwen theorem holds for the long-time (equilibrium) state of the particle. But the external static, homogeneous magnetic field does influence the long-time state of the thermal bath, which is described via the Caldeira-Leggett model. In particular, the magnetic field induces an average angular momentum for the (uncharged) bath, which separates into two sets rotating in opposite directions. The effect relates to the bath going slightly out of equilibrium under the influence of the Brownian particle and persists for arbitrarily long times. In this context we studied the behavior of the two other additive integrals of motion, energy, and linear momentum. The situation with linear momentum is different, because it is dissipated away by (and from) the bath modes. The average energy of the bath mode retains the magnetic field as a small correction. Thus, only the bath angular momentum really feels the magnetic field for long times.
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Affiliation(s)
- Ashot Matevosyan
- University of Cambridge, Cavendish Laboratory, Cambridge CB3 0HE, United Kingdom
- Alikhanyan National Laboratory, Yerevan Physics Institute, Yerevan 375036, Armenia
| | - Armen E Allahverdyan
- Alikhanyan National Laboratory, Yerevan Physics Institute, Yerevan 375036, Armenia
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6
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Kalz E, Vuijk HD, Abdoli I, Sommer JU, Löwen H, Sharma A. Collisions Enhance Self-Diffusion in Odd-Diffusive Systems. PHYSICAL REVIEW LETTERS 2022; 129:090601. [PMID: 36083684 DOI: 10.1103/physrevlett.129.090601] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/11/2022] [Revised: 06/15/2022] [Accepted: 07/29/2022] [Indexed: 06/15/2023]
Abstract
It is generally believed that collisions of particles reduce the self-diffusion coefficient. Here we show that in odd-diffusive systems, which are characterized by diffusion tensors with antisymmetric elements, collisions surprisingly can enhance the self-diffusion. In these systems, due to an inherent curving effect, the motion of particles is facilitated, instead of hindered by collisions leading to a mutual rolling effect. Using a geometric model, we analytically predict the enhancement of the self-diffusion coefficient with increasing density. This counterintuitive behavior is demonstrated in the archetypal odd-diffusive system of Brownian particles under Lorentz force. We validate our findings by many-body Brownian dynamics simulations in dilute systems.
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Affiliation(s)
- Erik Kalz
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Deutschland
- Technische Universität Dresden, Institut für Theoretische Physik, 01069 Dresden, Deutschland
| | - Hidde Derk Vuijk
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Deutschland
| | - Iman Abdoli
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Deutschland
| | - Jens-Uwe Sommer
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Deutschland
- Technische Universität Dresden, Institut für Theoretische Physik, 01069 Dresden, Deutschland
| | - Hartmut Löwen
- Heinrich Heine-Universität Düsseldorf, Institut für Theoretische Physik II: Weiche Materie, 40225 Düsseldorf, Deutschland
| | - Abhinav Sharma
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Deutschland
- Technische Universität Dresden, Institut für Theoretische Physik, 01069 Dresden, Deutschland
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7
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Abdoli I, Wittmann R, Brader JM, Sommer JU, Löwen H, Sharma A. Tunable Brownian magneto heat pump. Sci Rep 2022; 12:13405. [PMID: 35927292 PMCID: PMC9352690 DOI: 10.1038/s41598-022-17584-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2022] [Accepted: 07/27/2022] [Indexed: 11/09/2022] Open
Abstract
We propose a mesoscopic Brownian magneto heat pump made of a single charged Brownian particle that is steered by an external magnetic field. The particle is subjected to two thermal noises from two different heat sources. When confined, the particle performs gyrating motion around a potential energy minimum. We show that such a magneto-gyrator can be operated as both a heat engine and a refrigerator. The maximum power delivered by the engine and the performance of the refrigerator, namely the rate of heat transferred per unit external work, can be tuned and optimised by the applied magnetic field. Further tunability of the key properties of the engine, such as the direction of gyration and the torque exerted by the engine on the confining potential, is obtained by varying the strength and direction of the applied magnetic field. In principle, our predictions can be tested by experiments with colloidal particles and complex plasmas.
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Affiliation(s)
- Iman Abdoli
- Institut Theorie der Polymere, Leibniz-Institut für Polymerforschung Dresden, 01069, Dresden, Germany.,Institut für Theoretische Physik, Technische Universität Dresden, 01069, Dresden, Germany
| | - René Wittmann
- Institut für Theoretische Physik II, Weiche Materie, Heinrich-Heine-Universität Düsseldorf, 40225, Düsseldorf, Germany
| | | | - Jens-Uwe Sommer
- Institut Theorie der Polymere, Leibniz-Institut für Polymerforschung Dresden, 01069, Dresden, Germany.,Institut für Theoretische Physik, Technische Universität Dresden, 01069, Dresden, Germany
| | - Hartmut Löwen
- Institut für Theoretische Physik II, Weiche Materie, Heinrich-Heine-Universität Düsseldorf, 40225, Düsseldorf, Germany
| | - Abhinav Sharma
- Institut Theorie der Polymere, Leibniz-Institut für Polymerforschung Dresden, 01069, Dresden, Germany. .,Institut für Theoretische Physik, Technische Universität Dresden, 01069, Dresden, Germany.
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8
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Shinde R, Sommer JU, Löwen H, Sharma A. Strongly enhanced dynamics of a charged Rouse dimer by an external magnetic field. PNAS NEXUS 2022; 1:pgac119. [PMID: 36741452 PMCID: PMC9896929 DOI: 10.1093/pnasnexus/pgac119] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/25/2021] [Accepted: 07/20/2022] [Indexed: 02/07/2023]
Abstract
While the dynamics of dimers and polymer chains in a viscous solvent is well understood within the celebrated Rouse model, the effect of an external magnetic field on the dynamics of a charged chain is much less understood. Here, we generalize the Rouse model for a charged dimer to include the effect of an external magnetic field. Our analytically solvable model allows a fundamental insight into the magneto-generated dynamics of the dimer in the overdamped limit as induced by the Lorentz force. Surprisingly, for a dimer of oppositely charged particles, we find an enormous enhancement of the dynamics of the dimer center, which exhibits even a transient superballistic behavior. This is highly unusual in an overdamped system for there is neither inertia nor any internal or external driving. We attribute this to a significant translation and rotation coupling due to the Lorentz force. We also find that magnetic field reduces the mobility of a dimer along its orientation and its effective rotational diffusion coefficient. In principle, our predictions can be tested by experiments with colloidal particles and complex plasmas.
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Affiliation(s)
- Rushikesh Shinde
- Institut Theorie der Polymere, Leibniz-Institut für Polymerforschung Dresden, Kaitzer Straße 4, 01069 Saxony, Deutschland,Fakultät Informatik, Technische Universität Dresden, 01187 Saxony, Deutschland
| | - Jens Uwe Sommer
- Institut Theorie der Polymere, Leibniz-Institut für Polymerforschung Dresden, Kaitzer Straße 4, 01069 Saxony, Deutschland,Institut für Theoretische Physik, Technische Universität Dresden, 01069 Saxony, Deutschland
| | - Hartmut Löwen
- Institut für Theoretische Physik II : Weiche Materie, Heinrich–Heine-Universität Düsseldorf, 40225 Nordrhein–Westfalen, Deutschland
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9
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Abdoli I, Sharma A. Stochastic resetting of active Brownian particles with Lorentz force. SOFT MATTER 2021; 17:1307-1316. [PMID: 33313625 DOI: 10.1039/d0sm01773f] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Equilibrium properties of a system of passive diffusing particles in an external magnetic field are unaffected by Lorentz force. In contrast, active Brownian particles exhibit steady-state phenomena that depend on both the strength and the polarity of the applied magnetic field. The intriguing effects of the Lorentz force, however, can only be observed when out-of-equilibrium density gradients are maintained in the system. To this end, we use the method of stochastic resetting on active Brownian particles in two dimensions by resetting them to the line x = 0 at a constant rate and periodicity in the y direction. Under stochastic resetting, an active system settles into a nontrivial stationary state which is characterized by an inhomogeneous density distribution, polarization and bulk fluxes perpendicular to the density gradients. We show that whereas for a uniform magnetic field the properties of the stationary state of the active system can be obtained from its passive counterpart, novel features emerge in the case of an inhomogeneous magnetic field which have no counterpart in passive systems. In particular, there exists an activity-dependent threshold rate such that for smaller resetting rates, the density distribution of active particles becomes non-monotonic. We also study the mean first-passage time to the x axis and find a surprising result: it takes an active particle more time to reach the target from any given point for the case when the magnetic field increases away from the axis. The theoretical predictions are validated using Brownian dynamics simulations.
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Affiliation(s)
- Iman Abdoli
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Germany.
| | - Abhinav Sharma
- Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Germany. and Technische Universität Dresden, Institut für Theoretische Physik, 01069 Dresden, Germany
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10
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Löwen H. Active particles in noninertial frames: How to self-propel on a carousel. Phys Rev E 2019; 99:062608. [PMID: 31330628 DOI: 10.1103/physreve.99.062608] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/02/2019] [Indexed: 06/10/2023]
Abstract
Typically the motion of self-propelled active particles is described in a quiescent environment establishing an inertial frame of reference. Here we assume that friction, self-propulsion, and fluctuations occur relative to a noninertial frame and thereby the active Brownian motion model is generalized to noninertial frames. First, analytical solutions are presented for the overdamped case, both for linear swimmers and for circle swimmers. For a frame rotating with constant angular velocity ("carousel"), the resulting noise-free trajectories in the static laboratory frame are trochoids if these are circles in the rotating frame. For systems governed by inertia, such as vibrated granulates or active complex plasmas, centrifugal and Coriolis forces become relevant. For both linear and circling self-propulsion, these forces lead to out-spiraling trajectories which for long times approach a spira mirabilis. This implies that a self-propelled particle will typically leave a rotating carousel. A navigation strategy is proposed to avoid this expulsion, by adjusting the self-propulsion direction at will. For a particle, initially quiescent in the rotating frame, it is shown that this strategy only works if the initial distance to the rotation center is smaller than a critical radius R_{c} which scales with the self-propulsion velocity. Possible experiments to verify the theoretical predictions are discussed.
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Affiliation(s)
- Hartmut Löwen
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany
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11
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Hartmann P, Reyes JC, Kostadinova EG, Matthews LS, Hyde TW, Masheyeva RU, Dzhumagulova KN, Ramazanov TS, Ott T, Kählert H, Bonitz M, Korolov I, Donkó Z. Self-diffusion in two-dimensional quasimagnetized rotating dusty plasmas. Phys Rev E 2019; 99:013203. [PMID: 30780312 DOI: 10.1103/physreve.99.013203] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2018] [Indexed: 11/07/2022]
Abstract
The self-diffusion phenomenon in a two-dimensional dusty plasma at extremely strong (effective) magnetic fields is studied experimentally and by means of molecular dynamics simulations. In the experiment the high magnetic field is introduced by rotating the particle cloud and observing the particle trajectories in a corotating frame, which allows reaching effective magnetic fields up to 3000 T. The experimental results confirm the predictions of the simulations: (i) superdiffusive behavior is found at intermediate timescales and (ii) the dependence of the self-diffusion coefficient on the magnetic field is well reproduced.
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Affiliation(s)
- P Hartmann
- Institute for Solid State Physics and Optics, Wigner Research Centre, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary.,Center for Astrophysics, Space Physics, and Engineering Research (CASPER), One Bear Place 97283, Baylor University, Waco, Texas 76798, USA
| | - J C Reyes
- Center for Astrophysics, Space Physics, and Engineering Research (CASPER), One Bear Place 97283, Baylor University, Waco, Texas 76798, USA
| | - E G Kostadinova
- Center for Astrophysics, Space Physics, and Engineering Research (CASPER), One Bear Place 97283, Baylor University, Waco, Texas 76798, USA
| | - L S Matthews
- Center for Astrophysics, Space Physics, and Engineering Research (CASPER), One Bear Place 97283, Baylor University, Waco, Texas 76798, USA
| | - T W Hyde
- Center for Astrophysics, Space Physics, and Engineering Research (CASPER), One Bear Place 97283, Baylor University, Waco, Texas 76798, USA
| | - R U Masheyeva
- IETP, Al Farabi Kazakh National University, 71 al Farabi Avenue, Almaty 050040, Kazakhstan
| | - K N Dzhumagulova
- IETP, Al Farabi Kazakh National University, 71 al Farabi Avenue, Almaty 050040, Kazakhstan
| | - T S Ramazanov
- IETP, Al Farabi Kazakh National University, 71 al Farabi Avenue, Almaty 050040, Kazakhstan
| | - T Ott
- Institute for Theoretical Physics and Astrophysics, Christian-Albrechts-University Kiel, Leibnizstrasse 15, 24098 Kiel, Germany
| | - H Kählert
- Institute for Theoretical Physics and Astrophysics, Christian-Albrechts-University Kiel, Leibnizstrasse 15, 24098 Kiel, Germany
| | - M Bonitz
- Institute for Theoretical Physics and Astrophysics, Christian-Albrechts-University Kiel, Leibnizstrasse 15, 24098 Kiel, Germany
| | - I Korolov
- Institute for Solid State Physics and Optics, Wigner Research Centre, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary
| | - Z Donkó
- Institute for Solid State Physics and Optics, Wigner Research Centre, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary
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12
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Tadsen B, Greiner F, Piel A. Probing a dusty magnetized plasma with self-excited dust-density waves. Phys Rev E 2018; 97:033203. [PMID: 29776141 DOI: 10.1103/physreve.97.033203] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/30/2017] [Indexed: 06/08/2023]
Abstract
A cloud of nanodust particles is created in a reactive argon-acetylene plasma. It is then transformed into a dusty magnetized argon plasma. Plasma parameters are obtained with the dust-density wave diagnostic introduced by Tadsen et al. [Phys. Plasmas 22, 113701 (2015)10.1063/1.4934927]. A change from an open to a cylindrically enclosed nanodust cloud, which was observed earlier, can now be explained by a stronger electric confinement if a vertical magnetic field is present. Using two-dimensional extinction measurements and the inverse Abel transform to determine the dust density, a redistribution of the dust with increasing magnetic induction is found. The dust-density profile changes from being peaked around the central void to being peaked at an outer torus ring resulting in a hollow profile. As the plasma parameters cannot explain this behavior, we propose a rotation of the nanodust cloud in the magnetized plasma as the origin of the modified profile.
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Affiliation(s)
| | - Franko Greiner
- IEAP, Christian-Albrechts-Universität, 24098 Kiel, Germany
| | - Alexander Piel
- IEAP, Christian-Albrechts-Universität, 24098 Kiel, Germany
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13
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Ott T, Bonitz M, Hartmann P, Donkó Z. Spontaneous generation of temperature anisotropy in a strongly coupled magnetized plasma. Phys Rev E 2017; 95:013209. [PMID: 28208314 DOI: 10.1103/physreve.95.013209] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/19/2016] [Indexed: 06/06/2023]
Abstract
A magnetic field was recently shown to enhance field-parallel heat conduction in a strongly correlated plasma whereas cross-field conduction is reduced. Here we show that in such plasmas, the magnetic field has the additional effect of inhibiting the isotropization process between field-parallel and cross-field temperature components, thus leading to the emergence of strong and long-lived temperature anisotropies when the plasma is locally perturbed. An extended heat equation is shown to describe this process accurately.
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Affiliation(s)
- T Ott
- Christian-Albrechts-University Kiel, Institute for Theoretical Physics and Astrophysics, Leibnizstraße 15, 24098 Kiel, Germany
| | - M Bonitz
- Christian-Albrechts-University Kiel, Institute for Theoretical Physics and Astrophysics, Leibnizstraße 15, 24098 Kiel, Germany
| | - P Hartmann
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, P.O. Box 49, H-1525 Budapest, Hungary
| | - Z Donkó
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, P.O. Box 49, H-1525 Budapest, Hungary
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14
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Dzhumagulova KN, Masheyeva RU, Ott T, Hartmann P, Ramazanov TS, Bonitz M, Donkó Z. Cage correlation and diffusion in strongly coupled three-dimensional Yukawa systems in magnetic fields. Phys Rev E 2016; 93:063209. [PMID: 27415379 DOI: 10.1103/physreve.93.063209] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/25/2016] [Indexed: 06/06/2023]
Abstract
The influence of an external homogeneous magnetic field on the quasilocalization of the particles-characterized quantitatively by cage correlation functions-in strongly coupled three-dimensional Yukawa systems is investigated via molecular dynamics computer simulations over a wide domain of the system parameters (coupling and screening strengths, and magnetic field). The caging time is found to be enhanced by the magnetic field B. The anisotropic migration of the particles in the presence of magnetic field is quantified via computing directional correlation functions, which indicate a more significant increase of localization in the direction perpendicular to B, while a moderate increase is also found along the B field lines. Associating the particles' escapes from the cages with jumps of a characteristic length, a connection is found with the diffusion process: the diffusion coefficients derived from the decay time of the directional correlation functions in both the directions perpendicular to and parallel with B are in very good agreement with respective diffusion coefficients values obtained from their usual computation based on the mean-squared displacement of the particles.
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Affiliation(s)
- K N Dzhumagulova
- IETP, Al Farabi Kazakh National University, 71, al Farabi Avenue, Almaty, 050040, Kazakhstan
| | - R U Masheyeva
- IETP, Al Farabi Kazakh National University, 71, al Farabi Avenue, Almaty, 050040, Kazakhstan
| | - T Ott
- Institute for Theoretical Physics and Astrophysics, Christian-Albrechts-University Kiel, Leibnizstrasse 15, 24098 Kiel, Germany
| | - P Hartmann
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, H-1121 Budapest, Konkoly-Thege Miklós Street 29-33, Hungary
| | - T S Ramazanov
- IETP, Al Farabi Kazakh National University, 71, al Farabi Avenue, Almaty, 050040, Kazakhstan
| | - M Bonitz
- Institute for Theoretical Physics and Astrophysics, Christian-Albrechts-University Kiel, Leibnizstrasse 15, 24098 Kiel, Germany
| | - Z Donkó
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, H-1121 Budapest, Konkoly-Thege Miklós Street 29-33, Hungary
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15
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Ott T, Bonitz M, Donkó Z. Effect of correlations on heat transport in a magnetized strongly coupled plasma. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 92:063105. [PMID: 26764836 DOI: 10.1103/physreve.92.063105] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/10/2015] [Indexed: 06/05/2023]
Abstract
In a classical ideal plasma, a magnetic field is known to reduce the heat conductivity perpendicular to the field, whereas it does not alter the one along the field. Here we show that, in strongly correlated plasmas that are observed at high pressure and/or low temperature, a magnetic field reduces the perpendicular heat transport much less and even enhances the parallel transport. These surprising observations are explained by the competition of kinetic, potential, and collisional contributions to the heat conductivity. Our results are based on first-principle molecular dynamics simulations of a one-component plasma.
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Affiliation(s)
- T Ott
- Christian-Albrechts-University Kiel, Institute for Theoretical Physics and Astrophysics, Leibnizstraße 15, 24098 Kiel, Germany
| | - M Bonitz
- Christian-Albrechts-University Kiel, Institute for Theoretical Physics and Astrophysics, Leibnizstraße 15, 24098 Kiel, Germany
| | - Z Donkó
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, H-1525 Budapest, P.O.B 49, Hungary
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16
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Ghosh S. Quasilongitudinal soliton in a two-dimensional strongly coupled complex dusty plasma in the presence of an external magnetic field. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:033108. [PMID: 25314548 DOI: 10.1103/physreve.90.033108] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/24/2014] [Indexed: 06/04/2023]
Abstract
The propagation of a nonlinear low-frequency mode in two-dimensional (2D) monolayer hexagonal dusty plasma crystal in presence of external magnetic field and dust-neutral collision is investigated. The standard perturbative approach leads to a 2D Korteweg-de Vries (KdV) soliton for the well-known dust-lattice mode. However, the Coriolis force due to crystal rotation and Lorentz force due to magnetic field on dust particles introduce a linear forcing term, whereas dust-neutral drag introduce the usual damping term in the 2D KdV equation. This new nonlinear equation is solved both analytically and numerically to show the competition between the linear forcing and damping in the formation of quasilongitudinal soliton in a 2D strongly coupled complex (dusty) plasma. Numerical simulation on the basis of the typical experimental plasma parameters and the analytical solution reveal that the neutral drag force is responsible for the usual exponential decay of the soliton, whereas Coriolis and/or Lorentz force is responsible for the algebraic decay as well as the oscillating tail formation of the soliton. The results are discussed in the context of the plasma crystal experiment.
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Affiliation(s)
- Samiran Ghosh
- Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata-700 009, India
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17
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Dzhumagulova KN, Masheeva RU, Ramazanov TS, Donkó Z. Effect of magnetic field on the velocity autocorrelation and the caging of particles in two-dimensional Yukawa liquids. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 89:033104. [PMID: 24730953 DOI: 10.1103/physreve.89.033104] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/22/2013] [Indexed: 06/03/2023]
Abstract
We investigate the effect of an external magnetic field on the velocity autocorrelation function and the "caging" of the particles in a two-dimensional strongly coupled Yukawa liquid, via numerical simulations. The influence of the coupling strength on the position of the dominant peak in the frequency spectrum of the velocity autocorrelation function confirms the onset of a joint effect of the magnetic field and strong correlations at high coupling. Our molecular dynamics simulations quantify the decorrelation of the particles' surroundings: the magnetic field is found to increase significantly the caging time, which reaches values well beyond the time scale of plasma oscillations. The observation of the increased caging time is in accordance with findings that the magnetic field decreases diffusion in similar systems.
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Affiliation(s)
- K N Dzhumagulova
- IETP, Al Farabi Kazakh National University, 71 al Farabi Avenue, Almaty 050040, Kazakhstan
| | - R U Masheeva
- IETP, Al Farabi Kazakh National University, 71 al Farabi Avenue, Almaty 050040, Kazakhstan
| | - T S Ramazanov
- IETP, Al Farabi Kazakh National University, 71 al Farabi Avenue, Almaty 050040, Kazakhstan
| | - Z Donkó
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Konkoly-Thege Miklós Street 29-33, H-1121 Budapest, Hungary
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18
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Ott T, Löwen H, Bonitz M. Dynamics of two-dimensional one-component and binary Yukawa systems in a magnetic field. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 89:013105. [PMID: 24580344 DOI: 10.1103/physreve.89.013105] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/04/2013] [Indexed: 06/03/2023]
Abstract
We consider two-dimensional Yukawa systems in a perpendicular magnetic field. Computer simulations of both one-component and binary systems are used to explore the equilibrium particle dynamics in the fluid state. The mobility is found to scale with the inverse of the magnetic field strength (Bohm diffusion), for strong fields (ωc/ωp≳1). For bidisperse mixtures, the magnetic field dependence of the long-time mobility depends on the particle species, providing an external control of their mobility ratio. At large magnetic fields, the highly charged particles are almost immobilized by the magnetic field and form a porous matrix of obstacles for the mobile low-charge particles.
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Affiliation(s)
- T Ott
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany and Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
| | - H Löwen
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany
| | - M Bonitz
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstraße 15, 24098 Kiel, Germany
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19
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Hartmann P, Donkó Z, Ott T, Kählert H, Bonitz M. Magnetoplasmons in rotating dusty plasmas. PHYSICAL REVIEW LETTERS 2013; 111:155002. [PMID: 24160606 DOI: 10.1103/physrevlett.111.155002] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/17/2013] [Indexed: 06/02/2023]
Abstract
A rotating dusty plasma apparatus was constructed to provide the possibility of experimental emulation of extremely high magnetic fields by means of the Coriolis force, observable in a corotating measurement frame. We present collective excitation spectra for different rotation rates with a magnetic induction equivalent of up to 3200 T. We identify the onset of magnetoplasmon-equivalent mode dispersion in the rotating macroscopic two-dimensional single-layer dusty plasma. The experimental results are supported by molecular dynamics simulations of 2D magnetized Yukawa systems.
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Affiliation(s)
- Peter Hartmann
- Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, H-1121 Budapest, Konkoly-Thege Miklós street 29-33, Hungary and Center for Astrophysics, Space Physics and Engineering Research (CASPER), One Bear Place 97310, Baylor University, Waco, Texas 76798, USA
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20
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Ott T, Löwen H, Bonitz M. Magnetic field blocks two-dimensional crystallization in strongly coupled plasmas. PHYSICAL REVIEW LETTERS 2013; 111:065001. [PMID: 23971579 DOI: 10.1103/physrevlett.111.065001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/17/2013] [Indexed: 06/02/2023]
Abstract
Crystallization in a two-dimensional strongly coupled plasma from a rapidly cooled fluid is found to be efficiently blocked by an external magnetic field. Beyond a threshold of the magnetic field strength B, the relaxation time to the equilibrium crystal increases exponentially with B, which is attributed to an impeded conversion of potential to kinetic energy. Our finding is opposed to the standard picture of two-dimensional freezing of one-component systems which does not exhibit a nucleation barrier and opens the way to keep two-dimensional fluids metastable over long times.
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Affiliation(s)
- T Ott
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225 Düsseldorf, Germany
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21
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Ott T, Baiko DA, Kählert H, Bonitz M. Wave spectra of a strongly coupled magnetized one-component plasma: quasilocalized charge approximation versus harmonic lattice theory and molecular dynamics. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 87:043102. [PMID: 23679525 DOI: 10.1103/physreve.87.043102] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/17/2012] [Indexed: 06/02/2023]
Abstract
Two different approaches to the calculation of the wave spectra of magnetized strongly coupled liquid one-component plasmas are analzyed: the semianalytical quasilocalized charge approximation (QLCA) and the angle-averaged harmonic lattice (AAHL) theory. Both theories are benchmarked against the numerical evidence obtained from molecular dynamics simulations. It is found that not too far from the melting transition (Γ≳100), the AAHL theory is superior to the QLCA, while further away from the transition, the QLCA performs comparably to or better than the AAHL theory.
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Affiliation(s)
- T Ott
- Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, Leibnizstrasse 15, 24098 Kiel, Germany
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22
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Fink MA, Zhdanov SK, Thoma MH, Höfner H, Morfill GE. Pearl-necklace-like structures of microparticle strings observed in a dc complex plasma. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:065401. [PMID: 23367995 DOI: 10.1103/physreve.86.065401] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/12/2012] [Indexed: 06/01/2023]
Abstract
The observation of a well-developed treelike string structure supported by a gas flow in a three-dimensional dc complex plasma is presented. The dynamically stable strings, comprising 10-20 particles, were up to 5 mm long. The experiments were performed using neon gas at a pressure of 100 Pa and melamine-formaldehyde particles with a diameter of 3.43 μm. Inside the discharge glass tube a nozzle had been built in to supply the controllable gas (plasma) flux intensity distribution along the tube. The walls of the nozzle were transparent for the laser light illuminating the particles. That gave the opportunity to closely study the particle dynamics deep inside the nozzle.
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Affiliation(s)
- M A Fink
- Max Planck Institute for Extraterrestrial Physics, 85741 Garching, Germany
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