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Title: Kinetic Simulations of the Interruption of Large-Amplitude Shear-Alfvén Waves in a High- β Plasma

Abstract

Using two-dimensional hybrid-kinetic simulations, we explore the nonlinear “interruption” of standing and traveling shear-Alfvén waves in collisionless plasmas. Interruption involves a self-generated pressure anisotropy removing the restoring force of a linearly polarized Alfvénic perturbation, and occurs for wave amplitudes δB/B0≳β–1/2 (where β is the ratio of thermal to magnetic pressure). We use highly elongated domains to obtain maximal scale separation between the wave and the ion gyroscale. For standing waves above the amplitude limit, we find that the large-scale magnetic field of the wave decays rapidly. The dynamics are strongly affected by the excitation of oblique firehose modes, which transition into long-lived parallel fluctuations at the ion gyroscale and cause significant particle scattering. Traveling waves are damped more slowly, but are also influenced by small-scale parallel fluctuations created by the decay of firehose modes. Our results demonstrate that collisionless plasmas cannot support linearly polarized Alfvén waves above δB/B0–1/2. Here, they also provide a vivid illustration of two key aspects of low-collisionality plasma dynamics: (i) the importance of velocity-space instabilities in regulating plasma dynamics at high β, and (ii) how nonlinear collisionless processes can transfer mechanical energy directly from the largest scales into thermal energy and microscale fluctuations, without the needmore » for a scale-by-scale turbulent cascade.« less

Authors:
 [1];  [2];  [3];  [4]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States); Walter Burke Institute for Theoretical Physics, Pasadena, CA (United States)
  2. Princeton Univ., Princeton, NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  3. Univ. of California, Berkeley, CA (United States)
  4. Univ. of Oxford, Oxford (United Kingdom); Merton College, Oxford (United Kingdom)
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1404881
Alternate Identifier(s):
OSTI ID: 1399168
Grant/Contract Number:  
GBMF5076; AST 13-33612; ACI-1548562; NNX16AK09G; AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 15; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Squire, J., Kunz, M. W., Quataert, E., and Schekochihin, A. A. Kinetic Simulations of the Interruption of Large-Amplitude Shear-Alfvén Waves in a High-β Plasma. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.155101.
Squire, J., Kunz, M. W., Quataert, E., & Schekochihin, A. A. Kinetic Simulations of the Interruption of Large-Amplitude Shear-Alfvén Waves in a High-β Plasma. United States. https://doi.org/10.1103/PhysRevLett.119.155101
Squire, J., Kunz, M. W., Quataert, E., and Schekochihin, A. A. Thu . "Kinetic Simulations of the Interruption of Large-Amplitude Shear-Alfvén Waves in a High-β Plasma". United States. https://doi.org/10.1103/PhysRevLett.119.155101. https://www.osti.gov/servlets/purl/1404881.
@article{osti_1404881,
title = {Kinetic Simulations of the Interruption of Large-Amplitude Shear-Alfvén Waves in a High-β Plasma},
author = {Squire, J. and Kunz, M. W. and Quataert, E. and Schekochihin, A. A.},
abstractNote = {Using two-dimensional hybrid-kinetic simulations, we explore the nonlinear “interruption” of standing and traveling shear-Alfvén waves in collisionless plasmas. Interruption involves a self-generated pressure anisotropy removing the restoring force of a linearly polarized Alfvénic perturbation, and occurs for wave amplitudes δB⊥/B0≳β–1/2 (where β is the ratio of thermal to magnetic pressure). We use highly elongated domains to obtain maximal scale separation between the wave and the ion gyroscale. For standing waves above the amplitude limit, we find that the large-scale magnetic field of the wave decays rapidly. The dynamics are strongly affected by the excitation of oblique firehose modes, which transition into long-lived parallel fluctuations at the ion gyroscale and cause significant particle scattering. Traveling waves are damped more slowly, but are also influenced by small-scale parallel fluctuations created by the decay of firehose modes. Our results demonstrate that collisionless plasmas cannot support linearly polarized Alfvén waves above δB⊥/B0~β–1/2. Here, they also provide a vivid illustration of two key aspects of low-collisionality plasma dynamics: (i) the importance of velocity-space instabilities in regulating plasma dynamics at high β, and (ii) how nonlinear collisionless processes can transfer mechanical energy directly from the largest scales into thermal energy and microscale fluctuations, without the need for a scale-by-scale turbulent cascade.},
doi = {10.1103/PhysRevLett.119.155101},
journal = {Physical Review Letters},
number = 15,
volume = 119,
place = {United States},
year = {Thu Oct 12 00:00:00 EDT 2017},
month = {Thu Oct 12 00:00:00 EDT 2017}
}

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Cited by: 29 works
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Works referenced in this record:

Parallel proton fire hose instability in the expanding solar wind: Hybrid simulations
journal, January 2006

  • Matteini, Lorenzo; Landi, Simone; Hellinger, Petr
  • Journal of Geophysical Research, Vol. 111, Issue A10
  • DOI: 10.1029/2006JA011667

The many faces of shear Alfvén waves
journal, May 2011

  • Gekelman, W.; Vincena, S.; Van Compernolle, B.
  • Physics of Plasmas, Vol. 18, Issue 5
  • DOI: 10.1063/1.3592210

Pic Simulations of the Effect of Velocity Space Instabilities on Electron Viscosity and Thermal Conduction
journal, June 2016

  • Riquelme, Mario A.; Quataert, Eliot; Verscharen, Daniel
  • The Astrophysical Journal, Vol. 824, Issue 2
  • DOI: 10.3847/0004-637X/824/2/123

Effect of finite ion gyroradius on the fire‐hose instability in a high beta plasma
journal, July 1993

  • Yoon, Peter H.; Wu, C. S.; de Assis, A. S.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 7
  • DOI: 10.1063/1.860785

A Stringent Limit on the Amplitude of AlfvÉNic Perturbations in High-Beta Low-Collisionality Plasmas
journal, October 2016


Firehose and Mirror Instabilities in a Collisionless Shearing Plasma
journal, May 2014


Evolution of the fire-hose instability: Linear theory and wave-wave coupling
journal, November 1996

  • Quest, K. B.; Shapiro, V. D.
  • Journal of Geophysical Research: Space Physics, Vol. 101, Issue A11
  • DOI: 10.1029/96JA01534

The Solar Wind as a Turbulence Laboratory
journal, January 2013

  • Bruno, Roberto; Carbone, Vincenzo
  • Living Reviews in Solar Physics, Vol. 10
  • DOI: 10.12942/lrsp-2013-2

Kinetic Alfvén waves: Linear theory and a particle-in-cell simulation: KINETIC ALFVEN WAVES-THEORY AND SIMULATION
journal, February 2004

  • Gary, S. Peter; Nishimura, Kazumi
  • Journal of Geophysical Research: Space Physics, Vol. 109, Issue A2
  • DOI: 10.1029/2003JA010239

Spectrum of Magnetohydrodynamic Turbulence
journal, March 2006


X-ray spectroscopy of cooling clusters
journal, April 2006


Predicted impacts of proton temperature anisotropy on solar wind turbulence
journal, March 2015

  • Klein, K. G.; Howes, G. G.
  • Physics of Plasmas, Vol. 22, Issue 3
  • DOI: 10.1063/1.4914933

Hybrid simulations of quasineutral phenomena in magnetized plasma
journal, June 1978


Magnetic turbulence in cool cores of galaxy clusters
journal, June 2006


Simulation and quasilinear theory of proton firehose instability
journal, January 2015

  • Seough, Jungjoon; Yoon, Peter H.; Hwang, Junga
  • Physics of Plasmas, Vol. 22, Issue 1
  • DOI: 10.1063/1.4905230

Existence of Electromagnetic-Hydrodynamic Waves
journal, October 1942


Non-linear mirror instability
journal, December 2014

  • Rincon, F.; Schekochihin, A. A.; Cowley, S. C.
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 447, Issue 1
  • DOI: 10.1093/mnrasl/slu179

Particle Heating by Alfvenic Turbulence in Hot Accretion Flows
journal, June 1998

  • Quataert, Eliot
  • The Astrophysical Journal, Vol. 500, Issue 2
  • DOI: 10.1086/305770

Recent progress in astrophysical plasma turbulence from solar wind observations
journal, December 2016


Amplitude limits and nonlinear damping of shear-Alfvén waves in high-beta low-collisionality plasmas
journal, May 2017


Nonlinear Growth of Firehose and Mirror Fluctuations in Astrophysical Plasmas
journal, February 2008


A statistical model of three-dimensional anisotropy and intermittency in strong Alfvénic turbulence
journal, December 2016

  • Mallet, A.; Schekochihin, A. A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 4
  • DOI: 10.1093/mnras/stw3251

Magnetic Fluctuation Power Near Proton Temperature Anisotropy Instability Thresholds in the Solar Wind
journal, November 2009


Pressure-anisotropy-driven microturbulence and magnetic-field evolution in shearing, collisionless plasma
journal, April 2016

  • Melville, Scott; Schekochihin, Alexander A.; Kunz, Matthew W.
  • Monthly Notices of the Royal Astronomical Society, Vol. 459, Issue 3
  • DOI: 10.1093/mnras/stw793

Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence
journal, January 1995

  • Goldreich, P.; Sridhar, S.
  • The Astrophysical Journal, Vol. 438
  • DOI: 10.1086/175121

Damping and nonlinear wave-particle interactions of Alfv�n-waves in the solar wind
journal, September 1973

  • Lee, Martin A.; V�lk, Heinrich J.
  • Astrophysics and Space Science, Vol. 24, Issue 1
  • DOI: 10.1007/BF00648673

A multidimensional quasineutral plasma simulation model
journal, November 1978


Oblique proton fire hose instability in the expanding solar wind: Hybrid simulations: FIRE HOSE
journal, October 2008

  • Hellinger, Petr; Trávníček, Pavel M.
  • Journal of Geophysical Research: Space Physics, Vol. 113, Issue A10
  • DOI: 10.1029/2008JA013416

A non-linear theory of the parallel firehose and gyrothermal instabilities in a weakly collisional plasma: Theory of firehose and gyrothermal instabilities
journal, March 2011


Turbulent heating in galaxy clusters brightest in X-rays
journal, October 2014

  • Zhuravleva, I.; Churazov, E.; Schekochihin, A. A.
  • Nature, Vol. 515, Issue 7525
  • DOI: 10.1038/nature13830

A thermally stable heating mechanism for the intracluster medium: turbulence, magnetic fields and plasma instabilities: Thermally stable heating of the ICM
journal, October 2010


Pegasus: A new hybrid-kinetic particle-in-cell code for astrophysical plasma dynamics
journal, February 2014


Shearing Box Simulations of the MRI in a Collisionless Plasma
journal, February 2006

  • Sharma, Prateek; Hammett, Gregory W.; Quataert, Eliot
  • The Astrophysical Journal, Vol. 637, Issue 2
  • DOI: 10.1086/498405

Plasma Physics via Computer Simulation
book, January 1991


A δf particle method for gyrokinetic simulations with kinetic electrons and electromagnetic perturbations
journal, August 2003


Astrophysical Gyrokinetics: Kinetic and Fluid Turbulent Cascades in Magnetized Weakly Collisional Plasmas
journal, May 2009

  • Schekochihin, A. A.; Cowley, S. C.; Dorland, W.
  • The Astrophysical Journal Supplement Series, Vol. 182, Issue 1
  • DOI: 10.1088/0067-0049/182/1/310

Hydromagnetic waves in high Beta plasmas
journal, October 1979

  • Foote, E. A.; Kulsrud, R. M.
  • The Astrophysical Journal, Vol. 233
  • DOI: 10.1086/157391

Particle-in-cell simulations of Alfvén-cyclotron wave scattering: Proton velocity distributions: PROTON VELOCITY DISTRIBUTIONS
journal, May 2003

  • Gary, S. Peter; Saito, Shinji
  • Journal of Geophysical Research: Space Physics, Vol. 108, Issue A5
  • DOI: 10.1029/2002JA009824

New kinetic instability: Oblique Alfvén fire hose
journal, May 2000

  • Hellinger, P.; Matsumoto, H.
  • Journal of Geophysical Research: Space Physics, Vol. 105, Issue A5
  • DOI: 10.1029/1999JA000297

Astrophysical fluid dynamics
journal, May 2016


Macroscopic Quasilinear Theory of the Garden-Hose Instability
journal, January 1968


Works referencing / citing this record:

The multi-scale nature of the solar wind
journal, December 2019

  • Verscharen, Daniel; Klein, Kristopher G.; Maruca, Bennett A.
  • Living Reviews in Solar Physics, Vol. 16, Issue 1
  • DOI: 10.1007/s41116-019-0021-0

Laboratory space physics: Investigating the physics of space plasmas in the laboratory
journal, May 2018


Shearing-box simulations of MRI-driven turbulence in weakly collisional accretion discs
journal, May 2019

  • Kempski, Philipp; Quataert, Eliot; Squire, Jonathan
  • Monthly Notices of the Royal Astronomical Society, Vol. 486, Issue 3
  • DOI: 10.1093/mnras/stz1111

But what about...: cosmic rays, magnetic fields, conduction, and viscosity in galaxy formation
journal, December 2019

  • Hopkins, Philip F.; Chan, T. K.; Garrison-Kimmel, Shea
  • Monthly Notices of the Royal Astronomical Society, Vol. 492, Issue 3
  • DOI: 10.1093/mnras/stz3321

PIC Simulations of Velocity-space Instabilities in a Decreasing Magnetic Field: Viscosity and Thermal Conduction
journal, February 2018

  • Riquelme, Mario; Quataert, Eliot; Verscharen, Daniel
  • The Astrophysical Journal, Vol. 854, Issue 2
  • DOI: 10.3847/1538-4357/aaa6d1

Direct Detection of Black Hole-driven Turbulence in the Centers of Galaxy Clusters
journal, January 2020

  • Li, Yuan; Gendron-Marsolais, Marie-Lou; Zhuravleva, Irina
  • The Astrophysical Journal, Vol. 889, Issue 1
  • DOI: 10.3847/2041-8213/ab65c7

Shearing-box simulations of MRI-driven turbulence in weakly collisional accretion discs
text, January 2019


But What About... Cosmic Rays, Magnetic Fields, Conduction, & Viscosity in Galaxy Formation
text, January 2019