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Sun YB, Gou JN, Cao CY, Wang C, Zeng RH. Rayleigh-Taylor instability in magnetohydrodynamics with finite resistivity in a horizontal magnetic field. Phys Rev E 2023; 108:065208. [PMID: 38243492 DOI: 10.1103/physreve.108.065208] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/05/2023] [Accepted: 11/16/2023] [Indexed: 01/21/2024]
Abstract
Recent studies have revealed the significant influence of finite resistivity on high-energy-density plasmas, contrary to the previous findings of Jukes [J. Fluid Mech. 16, 177 (1963)0022-112010.1017/S0022112063000677]. This paper reexamines Jukes' theory in the context of magneto-Rayleigh-Taylor instability in magnetohydrodynamics with finite resistivity represented by η. The inadequacy of Jukes' approach due to an erroneous boundary condition is demonstrated, and it is shown that although the theory provides some physical insights, it fails to capture crucial features. The dispersion relation proposed in this study highlights that larger growth rates tend to diffuse the magnetic field rapidly, negating its suppressive effect. Moreover, the Atwood number has a significant influence on the growth-rate curves' shape, which differs from those of viscous or elastic flows and ideal magnetohydrodynamics. Additionally, long wavelengths grow proportionally to η^{1/3}, while α indicating growth rates behaves classically when the magnetic field is entirely diffused.
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Affiliation(s)
- Y B Sun
- State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
| | - J N Gou
- State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
| | - C Y Cao
- State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
| | - C Wang
- State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
| | - R H Zeng
- Fujian Key Laboratory of Wind Disasters and Wind Engineering, Xiamen University of Technology, Xiamen 361024, China
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2
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Calvo-Rivera A, Huete C, García-Rubio F, Velikovich AL, Betti R, Tzeferacos P. Stability of perpendicular magnetohydrodynamic shocks in materials with ideal and nonideal equations of state. Phys Rev E 2023; 108:035203. [PMID: 37849084 DOI: 10.1103/physreve.108.035203] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/26/2023] [Accepted: 08/07/2023] [Indexed: 10/19/2023]
Abstract
Magnetized target fusion approach to inertial confinement fusion involves the formation of strong shocks that travel along a magnetized plasma. Shocks, which play a dominant role in thermalizing the upstream kinetic energy generated in the implosion stage, are seldom free from perturbations, and they wrinkle in response to upstream or downstream disturbances. In Z-pinch experiments, significant plasma instability mitigation was observed with pre-embedded axial magnetic fields. To isolate effects, in this work we theoretically study the impact of perpendicular magnetic fields on the planar shock dynamics for different equations of state. For fast magnetosonic shocks in ideal gases, it was found that the magnetic field amplifies the intensity of the perturbations when γ>2 or it weakens them when γ<2. Weak shocks have been found to be stable regardless of the magnetic plasma intensity and gas compressibility; however, for sufficiently strong shocks the magnetic fields can promote a neutral stability/SAE at the shock if the adiabatic index is higher than 1+sqrt[2]. Results have been validated with numerical simulations performed with the FLASH code.
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Affiliation(s)
- A Calvo-Rivera
- Grupo de Mecánica de Fluidos, Departamento de Ingeniería Térmica y de Fluidos, Universidad Carlos III de Madrid, Leganés 28911, Spain
| | - C Huete
- Grupo de Mecánica de Fluidos, Departamento de Ingeniería Térmica y de Fluidos, Universidad Carlos III de Madrid, Leganés 28911, Spain
| | - F García-Rubio
- Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14627, USA and Department of Mechanical Engineering, University of Rochester, Rochester, New York 14627, USA
| | - A L Velikovich
- Plasma Physics Division, U.S. Naval Research Laboratory, Washington, District of Columbia 20375, USA
| | - R Betti
- Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14627, USA; Department of Mechanical Engineering, University of Rochester, Rochester, New York 14627, USA; and Department of Physics and Astronomy, University of Rochester, Rochester, New York, New York 14627, USA
| | - P Tzeferacos
- Department of Physics and Astronomy and Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14627, USA and Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14627, USA
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Arran C, Bradford P, Dearling A, Hicks GS, Al-Atabi S, Antonelli L, Ettlinger OC, Khan M, Read MP, Glize K, Notley M, Walsh CA, Kingham RJ, Najmudin Z, Ridgers CP, Woolsey NC. Measurement of Magnetic Cavitation Driven by Heat Flow in a Plasma. PHYSICAL REVIEW LETTERS 2023; 131:015101. [PMID: 37478421 DOI: 10.1103/physrevlett.131.015101] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/20/2022] [Revised: 03/22/2023] [Accepted: 05/17/2023] [Indexed: 07/23/2023]
Abstract
We describe the direct measurement of the expulsion of a magnetic field from a plasma driven by heat flow. Using a laser to heat a column of gas within an applied magnetic field, we isolate Nernst advection and show how it changes the field over a nanosecond timescale. Reconstruction of the magnetic field map from proton radiographs demonstrates that the field is advected by heat flow in advance of the plasma expansion with a velocity v_{N}=(6±2)×10^{5} m/s. Kinetic and extended magnetohydrodynamic simulations agree well in this regime due to the buildup of a magnetic transport barrier.
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Affiliation(s)
- C Arran
- York Plasma Institute, University of York, York YO10 5DD, United Kingdom
| | - P Bradford
- York Plasma Institute, University of York, York YO10 5DD, United Kingdom
| | - A Dearling
- York Plasma Institute, University of York, York YO10 5DD, United Kingdom
| | - G S Hicks
- The John Adams Institute for Accelerator Science, Blackett Laboratory, Imperial College London, London SW7 2BZ, United Kingdom
| | - S Al-Atabi
- The John Adams Institute for Accelerator Science, Blackett Laboratory, Imperial College London, London SW7 2BZ, United Kingdom
| | - L Antonelli
- First Light Fusion Ltd., Unit 9/10 Oxford Industrial Park, Mead Road, Yarnton, Kidlington OX5 1QU, United Kingdom
| | - O C Ettlinger
- The John Adams Institute for Accelerator Science, Blackett Laboratory, Imperial College London, London SW7 2BZ, United Kingdom
| | - M Khan
- York Plasma Institute, University of York, York YO10 5DD, United Kingdom
| | - M P Read
- First Light Fusion Ltd., Unit 9/10 Oxford Industrial Park, Mead Road, Yarnton, Kidlington OX5 1QU, United Kingdom
| | - K Glize
- Central Laser Facility, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot OX11 OQX, United Kingdom
| | - M Notley
- Central Laser Facility, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot OX11 OQX, United Kingdom
| | - C A Walsh
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550-9234, USA
| | - R J Kingham
- Blackett Laboratory, Imperial College London, London SW7 2BZ, United Kingdom
| | - Z Najmudin
- The John Adams Institute for Accelerator Science, Blackett Laboratory, Imperial College London, London SW7 2BZ, United Kingdom
| | - C P Ridgers
- York Plasma Institute, University of York, York YO10 5DD, United Kingdom
| | - N C Woolsey
- York Plasma Institute, University of York, York YO10 5DD, United Kingdom
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4
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Yao W, Higginson A, Marquès JR, Antici P, Béard J, Burdonov K, Borghesi M, Castan A, Ciardi A, Coleman B, Chen SN, d'Humières E, Gangolf T, Gremillet L, Khiar B, Lancia L, Loiseau P, Ribeyre X, Soloviev A, Starodubtsev M, Wang Q, Fuchs J. Dynamics of Nanosecond Laser Pulse Propagation and of Associated Instabilities in a Magnetized Underdense Plasma. PHYSICAL REVIEW LETTERS 2023; 130:265101. [PMID: 37450828 DOI: 10.1103/physrevlett.130.265101] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/14/2022] [Revised: 05/05/2023] [Accepted: 05/30/2023] [Indexed: 07/18/2023]
Abstract
The propagation and energy coupling of intense laser beams in plasmas are critical issues in inertial confinement fusion. Applying magnetic fields to such a setup has been shown to enhance fuel confinement and heating. Here we report on experimental measurements demonstrating improved transmission and increased smoothing of a high-power laser beam propagating in a magnetized underdense plasma. We also measure enhanced backscattering, which our kinetic simulations show is due to magnetic confinement of hot electrons, thus leading to reduced target preheating.
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Affiliation(s)
- W Yao
- LULI-CNRS, CEA, UPMC Univ Paris 06: Sorbonne Université, École Polytechnique, Institut Polytechnique de Paris-F-91128 Palaiseau cedex, France
- Sorbonne Université, Observatoire de Paris, Université PSL, CNRS, LERMA, F-75005, Paris, France
| | - A Higginson
- Center for Energy Research, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093-0417, USA
| | - J-R Marquès
- LULI-CNRS, CEA, UPMC Univ Paris 06: Sorbonne Université, École Polytechnique, Institut Polytechnique de Paris-F-91128 Palaiseau cedex, France
| | - P Antici
- INRS-EMT, 1650 boul, Lionel-Boulet, Varennes, QC, J3X 1S2, Canada
| | - J Béard
- CNRS, LNCMI, Univ Toulouse 3, INSA Toulouse, Univ Grenoble Alpes, EMFL, 31400 Toulouse, France
| | - K Burdonov
- LULI-CNRS, CEA, UPMC Univ Paris 06: Sorbonne Université, École Polytechnique, Institut Polytechnique de Paris-F-91128 Palaiseau cedex, France
- Sorbonne Université, Observatoire de Paris, Université PSL, CNRS, LERMA, F-75005, Paris, France
- JIHT, Russian Academy of Sciences, 125412, Moscow, Russia
| | - M Borghesi
- School of Mathematics and Physics, The Queen's University Belfast, Belfast, United Kingdom
| | - A Castan
- LULI-CNRS, CEA, UPMC Univ Paris 06: Sorbonne Université, École Polytechnique, Institut Polytechnique de Paris-F-91128 Palaiseau cedex, France
- CEA, DAM, DIF, F-91297 Arpajon, France
| | - A Ciardi
- Sorbonne Université, Observatoire de Paris, Université PSL, CNRS, LERMA, F-75005, Paris, France
| | - B Coleman
- School of Mathematics and Physics, The Queen's University Belfast, Belfast, United Kingdom
| | - S N Chen
- "Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest-Magurele, Romania
| | - E d'Humières
- University of Bordeaux, CELIA, CNRS, CEA, UMR 5107, F-33405 Talence, France
| | - T Gangolf
- LULI-CNRS, CEA, UPMC Univ Paris 06: Sorbonne Université, École Polytechnique, Institut Polytechnique de Paris-F-91128 Palaiseau cedex, France
| | - L Gremillet
- CEA, DAM, DIF, F-91297 Arpajon, France
- Université Paris-Saclay, CEA, LMCE, 91680 Bruyères-le-Châtel, France
| | - B Khiar
- Office National d'Etudes et de Recherches Aérospatiales (ONERA), Palaiseau 91123, France
| | - L Lancia
- LULI-CNRS, CEA, UPMC Univ Paris 06: Sorbonne Université, École Polytechnique, Institut Polytechnique de Paris-F-91128 Palaiseau cedex, France
| | - P Loiseau
- CEA, DAM, DIF, F-91297 Arpajon, France
- Université Paris-Saclay, CEA, LMCE, 91680 Bruyères-le-Châtel, France
| | - X Ribeyre
- University of Bordeaux, CELIA, CNRS, CEA, UMR 5107, F-33405 Talence, France
| | | | | | - Q Wang
- Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
- Department of Electrical and Computer Engineering, University of Alberta, 9211 116 St. NW, Edmonton, Alberta T6G 1H9, Canada
| | - J Fuchs
- LULI-CNRS, CEA, UPMC Univ Paris 06: Sorbonne Université, École Polytechnique, Institut Polytechnique de Paris-F-91128 Palaiseau cedex, France
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Shi Y, Arefiev A, Hao JX, Zheng J. Efficient Generation of Axial Magnetic Field by Multiple Laser Beams with Twisted Pointing Directions. PHYSICAL REVIEW LETTERS 2023; 130:155101. [PMID: 37115879 DOI: 10.1103/physrevlett.130.155101] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/05/2022] [Accepted: 03/17/2023] [Indexed: 06/19/2023]
Abstract
Strong laser-driven magnetic fields are crucial for high-energy-density physics and laboratory astrophysics research, but generation of axial multikilotesla fields remains a challenge. The difficulty comes from the inability of a conventional linearly polarized laser beam to induce the required azimuthal current or, equivalently, angular momentum (AM). We show that several laser beams can overcome this difficulty. Our three-dimensional kinetic simulations demonstrate that a twist in their pointing directions enables them to carry orbital AM and transfer it to the plasma, thus generating a hot electron population carrying AM needed to sustain the magnetic field. The resulting multikilotesla field occupies a volume that is tens of thousands of cubic microns and it persists on a picosecond timescale. The mechanism can be realized for a wide range of laser intensities and pulse durations. Our scheme is well suited for implementation using multikilojoule petawatt-class lasers, because, by design, they have multiple beamlets and because the scheme requires only linear polarization.
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Affiliation(s)
- Yin Shi
- Department of Plasma Physics and Fusion Engineering, University of Science and Technology of China, Hefei 230026, China
| | - Alexey Arefiev
- Department of Mechanical and Aerospace Engineering, University of California at San Diego, La Jolla, California 92093, USA
| | - Jue Xuan Hao
- Department of Plasma Physics and Fusion Engineering, University of Science and Technology of China, Hefei 230026, China
| | - Jian Zheng
- Department of Plasma Physics and Fusion Engineering, University of Science and Technology of China, Hefei 230026, China
- Collaborative Innovation Center of IFSA, Shanghai Jiao Tong University, Shanghai 200240, Peoples Republic of China
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