Weibel-like instability in magnetohydrodynamics

Davies, J. R.

doi:10.1063/5.0181342

Weibel-like instability in magnetohydrodynamics

Journal Article · Tue Dec 19 00:00:00 EST 2023 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0181342· OSTI ID:2248068

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University of Rochester, NY (United States); Laboratory for Laser Energetics, University of Rochester

In magnetohydrodynamics (MHD), a density perturbation perpendicular to an electron temperature gradient generates a magnetic field around itself that acts to increase the perturbation, which can lead to instability. An MHD dispersion relation is obtained for perturbations perpendicular to a fixed electron temperature gradient with an initial in-plane magnetic field, including resistivity, viscosity, and the electrothermal coefficient. Instability occurs for sufficiently small electron temperature-gradient scale lengths determined by the ion collisionless skin depth. Both viscosity and resistivity are required to prevent growth at arbitrarily small spatial scales and to give a physical result for the fastest growing mode. The perpendicular electrothermal coefficient is only significant for a narrow range of low electron Hall parameters, causing a modest reduction in magnetic field growth and modifying the criteria for instability in the presence of viscosity. If the definition of the Weibel instabilityis extended to include all instabilities due to anisotropy in the electron velocity distribution, then this is a Weibel-like instability because an electron temperature gradient implies an anisotropic electron velocity distribution. Here, the implications for the formation of filaments in laser-produced plasmas and for the verification of MHD codes are considered.

View Accepted Manuscript (DOE)

Research Organization:: University of Rochester, NY (United States)

Sponsoring Organization:: USDOE Advanced Research Projects Agency - Energy (ARPA-E); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AR0001272; NA0003856

OSTI ID:: 2248068

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 12 Vol. 30; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Laser plasma interactions
Magnetohydrodynamics
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Plasma waves

Weibel-like instability in magnetohydrodynamics

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