Electron-scale Kelvin-Helmholtz instability in magnetized shear flows

Fuente: arXiv
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Autores principales: Guo, Yao, Wu, Dong, Zhang, Jie
Formato: Preprint
Publicado: 2025
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author Guo, Yao
Wu, Dong
Zhang, Jie
author_facet Guo, Yao
Wu, Dong
Zhang, Jie
contents Electron-scale Kelvin-Helmholtz instabilities (ESKHI) are found in several astrophysical scenarios. Naturally ESKHI is subject to a background magnetic field, but an analytical dispersion relation and an accurate growth rate of ESKHI under this circumstance are long absent, as former MHD derivations are not applicable in the relativistic regime. We present a generalized dispersion relation of ESKHI in relativistic magnetized shear flows, with few assumptions. ESKHI linear growth rates in certain cases are numerically calculated. We conclude that the presence of an external magnetic field decreases the maximum instability growth rate in most cases, but can slightly increase it when the shear velocity is sufficiently high. Also, the external magnetic field results in a larger cutoff wavenumber of the unstable band and increases the wavenumber of the most unstable mode. PIC simulations are carried out to verify our conclusions, where we also observe the suppressing of kinetic DC magnetic field generation, resulting from electron gyration induced by the external magnetic field.
format Preprint
id arxiv_https___arxiv_org_abs_2502_16567
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Electron-scale Kelvin-Helmholtz instability in magnetized shear flows
Guo, Yao
Wu, Dong
Zhang, Jie
Plasma Physics
High Energy Astrophysical Phenomena
Electron-scale Kelvin-Helmholtz instabilities (ESKHI) are found in several astrophysical scenarios. Naturally ESKHI is subject to a background magnetic field, but an analytical dispersion relation and an accurate growth rate of ESKHI under this circumstance are long absent, as former MHD derivations are not applicable in the relativistic regime. We present a generalized dispersion relation of ESKHI in relativistic magnetized shear flows, with few assumptions. ESKHI linear growth rates in certain cases are numerically calculated. We conclude that the presence of an external magnetic field decreases the maximum instability growth rate in most cases, but can slightly increase it when the shear velocity is sufficiently high. Also, the external magnetic field results in a larger cutoff wavenumber of the unstable band and increases the wavenumber of the most unstable mode. PIC simulations are carried out to verify our conclusions, where we also observe the suppressing of kinetic DC magnetic field generation, resulting from electron gyration induced by the external magnetic field.
title Electron-scale Kelvin-Helmholtz instability in magnetized shear flows
topic Plasma Physics
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2502.16567