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Ly MN, Sano T, Sakawa Y, Sentoku Y. Conditions of structural transition for collisionless electrostatic shock. Phys Rev E 2023; 108:025208. [PMID: 37723746 DOI: 10.1103/physreve.108.025208] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/18/2023] [Accepted: 08/01/2023] [Indexed: 09/20/2023]
Abstract
Collisionless shock acceleration, which transfers localized particle energies to nonthermal energetic particles via electromagnetic potential, is ubiquitous in space plasma. We investigate dynamics of collisionless electrostatic shocks that appear at the interface of two plasma slabs with different pressures using one-dimensional particle-in-cell (PIC) simulations and find that the shock structure transforms to a double-layer structure at the high density gradient. The threshold condition of the structure transformation is identified as density ratio of the two plasma slabs Γ ∼40 regardless of the temperature ratio between them. We then update the collisionless shock model that takes into account density expansion effects caused by a rarefaction wave to improve the prediction of the critical Mach numbers. These critical Mach numbers are benchmarked by PIC simulations for a wide range of Γ. Furthermore, we introduce a semianalytical approach to forecast the shock velocity just from the initial conditions based on a concept of the accelerated fraction α.
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Affiliation(s)
- Minh Nhat Ly
- Institute of Laser Engineering, Osaka University, Suita, Osaka 565-0871, Japan
| | - Takayoshi Sano
- Institute of Laser Engineering, Osaka University, Suita, Osaka 565-0871, Japan
| | - Youichi Sakawa
- Institute of Laser Engineering, Osaka University, Suita, Osaka 565-0871, Japan
| | - Yasuhiko Sentoku
- Institute of Laser Engineering, Osaka University, Suita, Osaka 565-0871, Japan
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2
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Sakawa Y, Ohira Y, Kumar R, Morace A, Döhl LNK, Woolsey N. Identification of electrostatic two-stream instabilities associated with a laser-driven collisionless shock in a multicomponent plasma. Phys Rev E 2021; 104:055202. [PMID: 34942769 DOI: 10.1103/physreve.104.055202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2021] [Accepted: 10/13/2021] [Indexed: 11/07/2022]
Abstract
Electrostatic two-stream instabilities play essential roles in an electrostatic collisionless shock formation. They are a key dissipation mechanism and result in ion heating and acceleration. Since the number and energy of the shock-accelerated ions depend on the instabilities, precise identification of the active instabilities is important. Two-dimensional particle-in-cell simulations in a multicomponent plasma reveal ion reflection and acceleration at the shock front, excitation of a longitudinally propagating electrostatic instability due to a nonoscillating component of the electrostatic field in the upstream region of the shock, and generation of up- and down-shifted velocity components within the expanding-ion components. A linear analysis of the instabilities for a C_{2}H_{3}Cl plasma using the one-dimensional electrostatic plasma dispersion function, which includes electron and ion temperature effects, shows that the most unstable mode is the electrostatic ion-beam two-stream instability (IBTI), which is weakly dependent on the existence of electrons. The IBTI is excited by velocity differences between the expanding protons and carbon-ion populations. There is an electrostatic electron-ion two-stream instability with a much smaller growth rate associated with a population of protons reflecting at the shock. The excitation of the fast-growing IBTI associated with laser-driven collisionless shock increases the brightness of a quasimonoenergetic ion beam.
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Affiliation(s)
- Youichi Sakawa
- Institute of Laser Engineering, Osaka University, Suita, Osaka 565-0871, Japan
| | - Yutaka Ohira
- Department of Earth and Planetary Science, The University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - Rajesh Kumar
- Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
| | - Alessio Morace
- Institute of Laser Engineering, Osaka University, Suita, Osaka 565-0871, Japan
| | - Leonard N K Döhl
- York Plasma Institute, Department of Physics, University of York, Heslington, York YO10-5DD, United Kingdom
| | - Nigel Woolsey
- York Plasma Institute, Department of Physics, University of York, Heslington, York YO10-5DD, United Kingdom
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3
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Shan LQ, Cai HB, Zhang WS, Tang Q, Zhang F, Song ZF, Bi B, Ge FJ, Chen JB, Liu DX, Wang WW, Yang ZH, Qi W, Tian C, Yuan ZQ, Zhang B, Yang L, Jiao JL, Cui B, Zhou WM, Cao LF, Zhou CT, Gu YQ, Zhang BH, Zhu SP, He XT. Experimental Evidence of Kinetic Effects in Indirect-Drive Inertial Confinement Fusion Hohlraums. PHYSICAL REVIEW LETTERS 2018; 120:195001. [PMID: 29799245 DOI: 10.1103/physrevlett.120.195001] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/17/2017] [Revised: 01/19/2018] [Indexed: 06/08/2023]
Abstract
We present the first experimental evidence supported by simulations of kinetic effects launched in the interpenetration layer between the laser-driven hohlraum plasma bubbles and the corona plasma of the compressed pellet at the Shenguang-III prototype laser facility. Solid plastic capsules were coated with carbon-deuterium layers; as the implosion neutron yield is quenched, DD fusion yield from the corona plasma provides a direct measure of the kinetic effects inside the hohlraum. An anomalous large energy spread of the DD neutron signal (∼282 keV) and anomalous scaling of the neutron yield with the thickness of the carbon-deuterium layers cannot be explained by the hydrodynamic mechanisms. Instead, these results can be attributed to kinetic shocks that arise in the hohlraum-wall-ablator interpenetration region, which result in efficient acceleration of the deuterons (∼28.8 J, 0.45% of the total input laser energy). These studies provide novel insight into the interactions and dynamics of a vacuum hohlraum and near-vacuum hohlraum.
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Affiliation(s)
- L Q Shan
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - H B Cai
- Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
- HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China
- IFSA Collaborative Innovation Center, Shanghai Jiao Tong University, Shanghai 200240, China
| | - W S Zhang
- Graduate School, China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, China
| | - Q Tang
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - F Zhang
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - Z F Song
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - B Bi
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - F J Ge
- Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
| | - J B Chen
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - D X Liu
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - W W Wang
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - Z H Yang
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - W Qi
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - C Tian
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - Z Q Yuan
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - B Zhang
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - L Yang
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - J L Jiao
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - B Cui
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - W M Zhou
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
- IFSA Collaborative Innovation Center, Shanghai Jiao Tong University, Shanghai 200240, China
| | - L F Cao
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - C T Zhou
- Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
| | - Y Q Gu
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
- IFSA Collaborative Innovation Center, Shanghai Jiao Tong University, Shanghai 200240, China
| | - B H Zhang
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
| | - S P Zhu
- Science and Technology on Plasma Physics Laboratory, Research Center of Laser Fusion, CAEP, Mianyang 621900, China
- Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
- Graduate School, China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, China
| | - X T He
- Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
- HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China
- IFSA Collaborative Innovation Center, Shanghai Jiao Tong University, Shanghai 200240, China
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4
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Elkamash IS, Kourakis I. Multispecies plasma expansion into vacuum: The role of secondary ions and suprathermal electrons. Phys Rev E 2016; 94:053202. [PMID: 27967187 DOI: 10.1103/physreve.94.053202] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2016] [Indexed: 11/07/2022]
Abstract
The self-similar expansion of multispecies ion plasma is investigated by a two-ion fluid model with adiabatic equation of state for each ionic species. Our aim is to elucidate the effect of secondary ions on a plasma expansion front, in combination with energetic (suprathermal) electrons in the background, modeled by a kappa-type distribution function. The plasma density, velocity, and electric-field profile is investigated. It is shown that energetic electrons have a significant effect on the expansion front dynamics, essentially energizing the front, thus enhancing the ion acceleration mechanism. Different special cases are considered as regards the relative magnitude of the ion mass and/or charge state.
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Affiliation(s)
- I S Elkamash
- Centre for Plasma Physics, Queen's University Belfast, BT7 1NN Northern Ireland, United Kingdom.,Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
| | - I Kourakis
- Centre for Plasma Physics, Queen's University Belfast, BT7 1NN Northern Ireland, United Kingdom
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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. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2016; 79:046901. [PMID: 27007555 DOI: 10.1088/0034-4885/79/4/046901] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [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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Stockem A, Grismayer T, Fonseca RA, Silva LO. Electromagnetic field generation in the downstream of electrostatic shocks due to electron trapping. PHYSICAL REVIEW LETTERS 2014; 113:105002. [PMID: 25238365 DOI: 10.1103/physrevlett.113.105002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/28/2014] [Indexed: 06/03/2023]
Abstract
A new magnetic field generation mechanism in electrostatic shocks is found, which can produce fields with magnetic energy density as high as 0.01 of the kinetic energy density of the flows on time scales ∼10(4)ωpe-1. Electron trapping during the shock formation process creates a strong temperature anisotropy in the distribution function, giving rise to the pure Weibel instability. The generated magnetic field is well confined to the downstream region of the electrostatic shock. The shock formation process is not modified, and the features of the shock front responsible for ion acceleration, which are currently probed in laser-plasma laboratory experiments, are maintained. However, such a strong magnetic field determines the particle trajectories downstream and has the potential to modify the signatures of the collisionless shock.
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Affiliation(s)
- A Stockem
- Institut für Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universität Bochum, D-44780 Bochum, Germany and GoLP/Instituto de Plasmas e Fusão Nuclear-Laboratório Associado, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal
| | - T Grismayer
- GoLP/Instituto de Plasmas e Fusão Nuclear-Laboratório Associado, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal
| | - R A Fonseca
- GoLP/Instituto de Plasmas e Fusão Nuclear-Laboratório Associado, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal and ISCTE Instituto Universitário Lisboa, Avenida das Forças Armadas, 1649-026 Lisbon, Portugal
| | - L O Silva
- GoLP/Instituto de Plasmas e Fusão Nuclear-Laboratório Associado, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal
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Ahmed H, Dieckmann ME, Romagnani L, Doria D, Sarri G, Cerchez M, Ianni E, Kourakis I, Giesecke AL, Notley M, Prasad R, Quinn K, Willi O, Borghesi M. Time-resolved characterization of the formation of a collisionless shock. PHYSICAL REVIEW LETTERS 2013; 110:205001. [PMID: 25167421 DOI: 10.1103/physrevlett.110.205001] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/10/2012] [Indexed: 06/03/2023]
Abstract
We report on the temporally and spatially resolved detection of the precursory stages that lead to the formation of an unmagnetized, supercritical collisionless shock in a laser-driven laboratory experiment. The measured evolution of the electrostatic potential associated with the shock unveils the transition from a current free double layer into a symmetric shock structure, stabilized by ion reflection at the shock front. Supported by a matching particle-in-cell simulation and theoretical considerations, we suggest that this process is analogous to ion reflection at supercritical collisionless shocks in supernova remnants.
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Affiliation(s)
- H Ahmed
- Centre for Plasma Physics, School of Mathematics and Physics, Queen's University of Belfast, Belfast BT7 1NN, United Kingdom
| | - M E Dieckmann
- Centre for Plasma Physics, School of Mathematics and Physics, Queen's University of Belfast, Belfast BT7 1NN, United Kingdom
| | - L Romagnani
- LULI, École Polytechnique, CNRS, CEA, UPMC, F-91128 Palaiseau, France
| | - D Doria
- Centre for Plasma Physics, School of Mathematics and Physics, Queen's University of Belfast, Belfast BT7 1NN, United Kingdom
| | - G Sarri
- Centre for Plasma Physics, School of Mathematics and Physics, Queen's University of Belfast, Belfast BT7 1NN, United Kingdom
| | - M Cerchez
- Institute for Laser and Plasma Physics, University of Düsseldorf, D-40225 Düsseldorf, Germany
| | - E Ianni
- Centre for Plasma Physics, School of Mathematics and Physics, Queen's University of Belfast, Belfast BT7 1NN, United Kingdom and Dipartimento di Fisica, Università di Pisa, I-56127 Pisa, Italy
| | - I Kourakis
- Centre for Plasma Physics, School of Mathematics and Physics, Queen's University of Belfast, Belfast BT7 1NN, United Kingdom
| | - A L Giesecke
- Institute for Laser and Plasma Physics, University of Düsseldorf, D-40225 Düsseldorf, Germany
| | - M Notley
- Central Laser Facility, Rutherford Appleton Laboratory, Chilton, Oxfordshire OX11 0QX, United Kingdom
| | - R Prasad
- Centre for Plasma Physics, School of Mathematics and Physics, Queen's University of Belfast, Belfast BT7 1NN, United Kingdom
| | - K Quinn
- Centre for Plasma Physics, School of Mathematics and Physics, Queen's University of Belfast, Belfast BT7 1NN, United Kingdom
| | - O Willi
- Institute for Laser and Plasma Physics, University of Düsseldorf, D-40225 Düsseldorf, Germany
| | - M Borghesi
- Centre for Plasma Physics, School of Mathematics and Physics, Queen's University of Belfast, Belfast BT7 1NN, United Kingdom and Institute of Physics of the ASCR, ELI-Beamlines Project, Na Slovance 2, 18221 Prague, Czech Republic
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