On hydromagnetic wave interactions in collisionless, high-β plasmas

Majeski, S.; Kunz, M. W.

doi:10.1017/s0022377823001435

Title: On hydromagnetic wave interactions in collisionless, high-β plasmas

Journal Article · Fri Jan 19 00:00:00 EST 2024 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/s0022377823001435· OSTI ID:2310906

^[1];

^[1]

Princeton Univ., NJ (United States); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

We describe the interaction of parallel-propagating Alfvén waves with ion-acoustic waves and other Alfvén waves, in magnetized, high-β collisionless plasmas. This is accomplished through a combination of analytical theory and numerical fluid simulations of the Chew–Goldberger–Low (CGL) magnetohydrodynamic (MHD) equations closed by Landau-fluid heat fluxes. An asymptotic ordering is employed to simplify the CGL-MHD equations and derive solutions for the deformation of an Alfvén wave that results from its interaction with the pressure anisotropy generated either by an ion-acoustic wave or another, larger-amplitude Alfvén wave. The difference in time scales of acoustic and Alfvénic fluctuations at high-β means that interactions that are local in wavenumber space yield little modification to either mode within the time it takes the acoustic wave to Landau damp away. Instead, order-unity changes in the amplitude of Alfvénic fluctuations can result after interacting with frequency-matched acoustic waves. Additionally, we show that the propagation speed of an Alfvén-wave packet in an otherwise homogeneous background is a function of its self-generated pressure anisotropy. This allows for the eventual interaction of separate co-propagating Alfvén-wave packets of differing amplitudes. The results of the CGL-MHD simulations agree well with these predictions, suggesting that theoretical models relying on the interaction of these modes should be reconsidered in certain astrophysical environments. Applications of these results to weak Alfvénic turbulence and to the interaction between the compressive and Alfvénic cascades in strong, collisionless turbulence are also discussed.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 2310906

Journal Information:: Journal of Plasma Physics, Vol. 90, Issue 1; ISSN 0022-3778

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

References (42)

Radiatively Inefficient Accretion Flow Models of Sgr A* Quataert, Eliot Astronomische Nachrichten, Vol. 324, Issue S1 https://doi.org/10.1002/asna.200385043	journal	September 2003
Onset of magnetic reconnection in a collisionless, high- plasma Alt, Andrew; Kunz, Matthew W. Journal of Plasma Physics, Vol. 85, Issue 1 https://doi.org/10.1017/S0022377819000084	journal	February 2019
Fluctuation Dynamo in a Collisionless, Weakly Magnetized Plasma St-Onge, Denis A.; Kunz, Matthew W. The Astrophysical Journal, Vol. 863, Issue 2 https://doi.org/10.3847/2041-8213/aad638	journal	August 2018
Anisotropic magnetohydrodynamic turbulence in a strong external magnetic field Montgomery, David Physics of Fluids, Vol. 24, Issue 5 https://doi.org/10.1063/1.863455	journal	January 1981
Wave Generation and Heat Flux Suppression in Astrophysical Plasma Systems Roberg-Clark, G. T.; Drake, J. F.; Swisdak, M. The Astrophysical Journal, Vol. 867, Issue 2 https://doi.org/10.3847/1538-4357/aae393	journal	November 2018
Electron Heating in Hot Accretion Flows Sharma, Prateek; Quataert, Eliot; Hammett, Gregory W. The Astrophysical Journal, Vol. 667, Issue 2 https://doi.org/10.1086/520800	journal	October 2007
Kinetic Simulations of the Interruption of Large-Amplitude Shear-Alfvén Waves in a High- $β$ Plasma Squire, J.; Kunz, M. W.; Quataert, E. Physical Review Letters, Vol. 119, Issue 15 https://doi.org/10.1103/PhysRevLett.119.155101	journal	October 2017
A Stringent Limit on the Amplitude of AlfvÉNic Perturbations in High-Beta Low-Collisionality Plasmas Squire, J.; Quataert, E.; Schekochihin, A. A. The Astrophysical Journal, Vol. 830, Issue 2 https://doi.org/10.3847/2041-8205/830/2/L25	journal	October 2016
Thermal disequilibration of ions and electrons by collisionless plasma turbulence Kawazura, Yohei; Barnes, Michael; Schekochihin, Alexander A. Proceedings of the National Academy of Sciences, Vol. 116, Issue 3 https://doi.org/10.1073/pnas.1812491116	journal	December 2018
Energy transfer in compressible magnetohydrodynamic turbulence Grete, Philipp; O'Shea, Brian W.; Beckwith, Kris Physics of Plasmas, Vol. 24, Issue 9 https://doi.org/10.1063/1.4990613	journal	September 2017
Athena: A New Code for Astrophysical MHD Stone, James M.; Gardiner, Thomas A.; Teuben, Peter The Astrophysical Journal Supplement Series, Vol. 178, Issue 1 https://doi.org/10.1086/588755	journal	September 2008
Mirror instability: 1. Physical mechanism of linear instability Southwood, David J.; Kivelson, Margaret G. Journal of Geophysical Research, Vol. 98, Issue A6 https://doi.org/10.1029/92JA02837	journal	January 1993
Non-linear mirror instability Rincon, F.; Schekochihin, A. A.; Cowley, S. C. Monthly Notices of the Royal Astronomical Society: Letters, Vol. 447, Issue 1 https://doi.org/10.1093/mnrasl/slu179	journal	December 2014
Self-inhibiting thermal conduction in a high-, whistler-unstable plasma Komarov, S.; Schekochihin, A. A.; Churazov, E. Journal of Plasma Physics, Vol. 84, Issue 3 https://doi.org/10.1017/S0022377818000399	journal	June 2018
Amplitude limits and nonlinear damping of shear-Alfvén waves in high-beta low-collisionality plasmas Squire, J.; Schekochihin, A. A.; Quataert, E. New Journal of Physics, Vol. 19, Issue 5 https://doi.org/10.1088/1367-2630/aa6bb1	journal	May 2017
Alfvén wave collisions, the fundamental building block of plasma turbulence. I. Asymptotic solution Howes, G. G.; Nielson, K. D. Physics of Plasmas, Vol. 20, Issue 7 https://doi.org/10.1063/1.4812805	journal	July 2013
Astrophysical gyrokinetics: turbulence in pressure-anisotropic plasmas at ion scales and beyond Kunz, M. W.; Abel, I. G.; Klein, K. G. Journal of Plasma Physics, Vol. 84, Issue 2 https://doi.org/10.1017/S0022377818000296	journal	April 2018
Landau fluid models of collisionless magnetohydrodynamics Snyder, P. B.; Hammett, G. W.; Dorland, W. Physics of Plasmas, Vol. 4, Issue 11 https://doi.org/10.1063/1.872517	journal	November 1997
Fast magnetic reconnection due to anisotropic electron pressure Cassak, P. A.; Baylor, R. N.; Fermo, R. L. Physics of Plasmas, Vol. 22, Issue 2 https://doi.org/10.1063/1.4908545	journal	February 2015
Compressible magnetohydrodynamic turbulence: mode coupling, scaling relations, anisotropy, viscosity-damped regime and astrophysical implications Cho, Jungyeon; Lazarian, A. Monthly Notices of the Royal Astronomical Society, Vol. 345, Issue 1 https://doi.org/10.1046/j.1365-8711.2003.06941.x	journal	October 2003
Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture Nazarenko, Sergei V.; Schekochihin, Alexander A. Journal of Fluid Mechanics, Vol. 677 https://doi.org/10.1017/S002211201100067X	journal	March 2011
Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence Goldreich, P.; Sridhar, S. The Astrophysical Journal, Vol. 438 https://doi.org/10.1086/175121	journal	January 1995
Triggering tearing in a forming current sheet with the mirror instability Winarto, Himawan W.; Kunz, Matthew W. Journal of Plasma Physics, Vol. 88, Issue 2 https://doi.org/10.1017/S0022377822000150	journal	April 2022
A weak turbulence theory for incompressible magnetohydrodynamics Galtier, S.; Nazarenko, S. V.; Newell, A. C. Journal of Plasma Physics, Vol. 63, Issue 5 https://doi.org/10.1017/S0022377899008284	journal	June 2000
Adaptive Critical Balance and Firehose Instability in an Expanding, Turbulent, Collisionless Plasma Bott, A. F. A.; Arzamasskiy, L.; Kunz, M. W. The Astrophysical Journal Letters, Vol. 922, Issue 2 https://doi.org/10.3847/2041-8213/ac37c2	journal	November 2021
Microphysically modified magnetosonic modes in collisionless, high-β plasmas Majeski, S.; Kunz, M. W.; Squire, J. Journal of Plasma Physics, Vol. 89, Issue 3 https://doi.org/10.1017/S0022377823000429	journal	May 2023
Fluctuation dynamo in a weakly collisional plasma St-Onge, D. A.; Kunz, M. W.; Squire, J. Journal of Plasma Physics, Vol. 86, Issue 5 https://doi.org/10.1017/S0022377820000860	journal	September 2020
Pressure anisotropy and viscous heating in weakly collisional plasma turbulence Squire, J.; Kunz, M. W.; Arzamasskiy, L. Journal of Plasma Physics, Vol. 89, Issue 4 https://doi.org/10.1017/S0022377823000727	journal	August 2023
The force balance of electrons during kinetic anti-parallel magnetic reconnection Egedal, J.; Gurram, H.; Greess, S. Physics of Plasmas, Vol. 30, Issue 6 https://doi.org/10.1063/5.0130417	journal	June 2023
Self-sustaining sound in collisionless, high- β plasma Kunz, M. W.; Squire, J.; Schekochihin, A. A. Journal of Plasma Physics, Vol. 86, Issue 6 https://doi.org/10.1017/S0022377820001312	journal	November 2020
Small-Scale Structure of a Scalar Field Convected by Turbulence Kraichnan, Robert H. Physics of Fluids, Vol. 11, Issue 5 https://doi.org/10.1063/1.1692063	journal	January 1968
Magnetogenesis in a Collisionless Plasma: From Weibel Instability to Turbulent Dynamo Zhou, Muni; Zhdankin, Vladimir; Kunz, Matthew W. The Astrophysical Journal, Vol. 960, Issue 1 https://doi.org/10.3847/1538-4357/ad0b0f	journal	December 2023
Shearing Box Simulations of the MRI in a Collisionless Plasma Sharma, Prateek; Hammett, Gregory W.; Quataert, Eliot The Astrophysical Journal, Vol. 637, Issue 2 https://doi.org/10.1086/498405	journal	February 2006
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
Magnetic Field Amplification and Evolution in Turbulent Collisionless Magnetohydrodynamics: an Application to the Intracluster Medium Santos-Lima, R.; de Gouveia Dal Pino, E. M.; Kowal, G. The Astrophysical Journal, Vol. 781, Issue 2 https://doi.org/10.1088/0004-637X/781/2/84	journal	January 2014
Astrophysical Gyrokinetics: Kinetic and Fluid Turbulent Cascades in Magnetized Weakly Collisional Plasmas Schekochihin, A. A.; Cowley, S. C.; Dorland, W. The Astrophysical Journal Supplement Series, Vol. 182, Issue 1 https://doi.org/10.1088/0067-0049/182/1/310	journal	May 2009
New kinetic instability: Oblique Alfvén fire hose Hellinger, P.; Matsumoto, H. Journal of Geophysical Research: Space Physics, Vol. 105, Issue A5 https://doi.org/10.1029/1999JA000297	journal	May 2000
Compressible Magnetohydrodynamic Turbulence in Interstellar Plasmas Lithwick, Yoram; Goldreich, Peter The Astrophysical Journal, Vol. 562, Issue 1 https://doi.org/10.1086/323470	journal	November 2001
Generation of Near-Equipartition Magnetic Fields in Turbulent Collisionless Plasmas Sironi, Lorenzo; Comisso, Luca; Golant, Ryan Physical Review Letters, Vol. 131, Issue 5 https://doi.org/10.1103/PhysRevLett.131.055201	journal	July 2023
Fully Kinetic Shearing-box Simulations of Magnetorotational Turbulence in 2D and 3D. I. Pair Plasmas Bacchini, Fabio; Arzamasskiy, Lev; Zhdankin, Vladimir The Astrophysical Journal, Vol. 938, Issue 1 https://doi.org/10.3847/1538-4357/ac8a94	journal	October 2022
The Hydromagnetic Equations Elsasser, Walter M. Physical Review, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRev.79.183	journal	July 1950
Magnetorotational Turbulence and Dynamo in a Collisionless Plasma Kunz, Matthew W.; Stone, James M.; Quataert, Eliot Physical Review Letters, Vol. 117, Issue 23 https://doi.org/10.1103/PhysRevLett.117.235101	journal	December 2016

Similar Records

Microphysically modified magnetosonic modes in collisionless, high-β plasmas

Journal Article · Wed May 24 00:00:00 EDT 2023 · Journal of Plasma Physics · OSTI ID:2310906

Majeski, S.; Kunz, M. W.; Squire, J.

Geodesic acoustic mode in anisotropic plasma with heat flux

Journal Article · Thu Oct 15 00:00:00 EDT 2015 · Physics of Plasmas · OSTI ID:2310906

Ren, Haijun

A primitive kinetic-fluid model for quasi-parallel propagating magnetohydrodynamic waves

Journal Article · Mon Jul 15 00:00:00 EDT 2013 · Physics of Plasmas · OSTI ID:2310906

Nariyuki, Y.; Saito, S.; Umeda, T.

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
astrophysical plasmas
plasma nonlinear phenomena
plasma waves

Title: On hydromagnetic wave interactions in collisionless, high-β plasmas

Citation Formats

References (42)

Similar Records

Related Subjects