skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Adaptive Critical Balance and Firehose Instability in an Expanding, Turbulent, Collisionless Plasma

Journal Article · · The Astrophysical Journal. Letters

Using a hybrid-kinetic particle-in-cell simulation, we study the evolution of an expanding, collisionless, magnetized plasma in which strong Alfvénic turbulence is persistently driven. Temperature anisotropy generated adiabatically by the plasma expansion (and consequent decrease in the mean magnetic-field strength) gradually reduces the effective elasticity of the field lines, causing reductions in the linear frequency and residual energy of the Alfvénic fluctuations. In response, these fluctuations modify their interactions and spatial anisotropy to maintain a scale-by-scale “critical balance” between their characteristic linear and nonlinear frequencies. Eventually the plasma becomes unstable to kinetic firehose instabilities, which excite rapidly growing magnetic fluctuations at ion-Larmor scales. The consequent pitch-angle scattering of particles maintains the temperature anisotropy near marginal stability, even as the turbulent plasma continues to expand. The resulting evolution of parallel and perpendicular temperatures does not satisfy double-adiabatic conservation laws, but is described accurately by a simple model that includes anomalous scattering. Our results have implications for understanding the complex interplay between macro- and microscale physics in various hot, dilute, astrophysical plasmas, and offer predictions concerning power spectra, residual energy, ion-Larmor-scale spectral breaks, and non-Maxwellian features in ion distribution functions that may be tested by measurements taken in high-beta regions of the solar wind.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); University of California, Berkeley, CA (United States)
Sponsoring Organization:
USDOE; National Science Foundation (NSF); Royal Society of New Zealand; University of Texas; Marsden Fund
Grant/Contract Number:
SC0019046; SC0019047; UOO1727; OCI-1053575
OSTI ID:
1833754
Alternate ID(s):
OSTI ID: 1888521; OSTI ID: 1984385
Journal Information:
The Astrophysical Journal. Letters, Journal Name: The Astrophysical Journal. Letters Vol. 922 Journal Issue: 2; ISSN 2041-8205
Publisher:
American Astronomical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (49)

Multi-Species Measurements of the Firehose and Mirror Instability Thresholds in the Solar wind journal July 2016
The multi-scale nature of the solar wind journal December 2019
Inertial-range kinetic turbulence in pressure-anisotropic astrophysical plasmas journal July 2015
Electron Heating by the ion Cyclotron Instability in Collisionless Accretion Flows. i. Compression-Driven Instabilities and the Electron Heating Mechanism journal February 2015
Alfvén wave propagation and ion cyclotron interactions in the expanding solar wind: One-dimensional hybrid simulations journal December 2001
Reflection-driven magnetohydrodynamic turbulence in the solar atmosphere and solar wind journal August 2019
Predicted impacts of proton temperature anisotropy on solar wind turbulence journal March 2015
Astrophysical gyrokinetics: turbulence in pressure-anisotropic plasmas at ion scales and beyond journal April 2018
Power and spectral index anisotropy of the entire inertial range of turbulence in the fast solar wind: Anisotropy of the entire inertial range journal July 2010
Constraining Gas Motions in the Intra-Cluster Medium journal February 2019
Turbulent cascade of incompressible unidirectional Alfvén waves in the interplanetary medium journal October 1989
Residual Energy Spectrum of Solar wind Turbulence journal June 2013
Refined critical balance in strong Alfvénic turbulence journal March 2015
Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence journal January 1995
Alfven Waves and Turbulence in the Solar Atmosphere and Solar Wind journal June 2007
Turbulence, magnetic fields, and plasma physics in clusters of galaxies journal May 2006
In-situ Switchback Formation in the Expanding Solar Wind journal February 2020
Proton temperature-anisotropy-driven instabilities in weakly collisional plasmas: Hybrid simulations journal August 2014
Self-sustaining sound in collisionless, high- β plasma journal November 2020
Electron Temperature Anisotropy in an Expanding Plasma: Particle-In-Cell Simulations journal February 2010
The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions
  • Chew, G. F.; Goldberger, M. L.; Low, F. E.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 236, Issue 1204, p. 112-118 https://doi.org/10.1098/rspa.1956.0116
journal July 1956
New kinetic instability: Oblique Alfvén fire hose journal May 2000
Proton fire hose instabilities in the expanding solar wind journal February 2017
Solar Wind Turbulence and the Role of Ion Instabilities journal August 2013
Parallel proton fire hose instability in the expanding solar wind: Hybrid simulations journal January 2006
Proton Temperature-anisotropy Instability Coexisting with Ambient Turbulence in the Solar-wind Plasma journal April 2019
AlfvÉN wave Reflection and Turbulent Heating in the Solar wind from 1 Solar Radius to 1 au: an Analytical Treatment journal December 2009
Simulations of Electron Magnetohydrodynamic Turbulence journal July 2009
Signatures of kinetic instabilities in the solar wind: KINETIC INSTABILITIES IN THE SOLAR WIND journal June 2013
Effect of finite ion gyroradius on the fire‐hose instability in a high beta plasma journal July 1993
Plasma Turbulence and Kinetic Instabilities at ion Scales in the Expanding Solar wind journal September 2015
Firehose and Mirror Instabilities in a Collisionless Shearing Plasma journal May 2014
Kinetic Simulations of the Interruption of Large-Amplitude Shear-Alfvén Waves in a High- β Plasma journal October 2017
Nonlinear wave evolution in the expanding solar wind journal April 1993
Evolution of the solar wind proton temperature anisotropy from 0.3 to 2.5 AU journal January 2007
Electron Properties and Coulomb Collisions in the Solar Wind at 1 AU: Wind Observations journal March 2003
Magnetic Fluctuation Power Near Proton Temperature Anisotropy Instability Thresholds in the Solar Wind journal November 2009
Hybrid-kinetic Simulations of Ion Heating in Alfvénic Turbulence journal July 2019
Magnetosheath compression: Role of characteristic compression time, alpha particle abundance, and alpha/proton relative velocity: MAGNETOSHEATH COMPRESSION journal April 2005
Particle-In-Cell Simulations of Continuously Driven Mirror and ion Cyclotron Instabilities in high beta Astrophysical and Heliospheric Plasmas journal February 2015
The stability of the pinch
  • Chandrasekhar, Subrahmanyan; Kaufman, A. N.; Watson, K. M.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 245, Issue 1243, p. 435-455 https://doi.org/10.1098/rspa.1958.0094
journal July 1958
Dynamical Instability in an Anisotropic Ionized Gas of Low Density journal March 1958
Plasma Instabilities and Magnetic Field Growth in Clusters of Galaxies journal August 2005
Pegasus: A new hybrid-kinetic particle-in-cell code for astrophysical plasma dynamics journal February 2014
Astrophysical Gyrokinetics: Kinetic and Fluid Turbulent Cascades in Magnetized Weakly Collisional Plasmas journal May 2009
Electron kinetic firehose instability journal December 2000
Ion Kinetics in the Solar Wind: Coupling Global Expansion to Local Microphysics journal April 2011
Turbulence versus Fire-hose Instabilities: 3D Hybrid Expanding Box Simulations journal October 2019
Hot Accretion Flows Around Black Holes journal August 2014

Similar Records

Self-sustaining sound in collisionless, high-β plasma
Journal Article · Mon Nov 09 00:00:00 EST 2020 · Journal of Plasma Physics · OSTI ID:1833754

Kinetic Turbulence in Collisionless High- β Plasmas
Journal Article · Wed Apr 26 00:00:00 EDT 2023 · Physical Review. X · OSTI ID:1833754

Collaborative Research: Multi-scale Dynamics of Kinetic Turbulence in Weakly Collisional, High-Beta Plasmas
Technical Report · Sat Sep 01 00:00:00 EDT 2018 · OSTI ID:1833754