Parametric decay instability of circularly polarized Alfvén wave in magnetically dominated plasma

Fuente: arXiv
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Autori principali: Ishizaki, Wataru, Ioka, Kunihito
Natura: Preprint
Pubblicazione: 2024
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author Ishizaki, Wataru
Ioka, Kunihito
author_facet Ishizaki, Wataru
Ioka, Kunihito
contents We investigate parametric decay instability (PDI) of circularly polarized Alfvén wave into daughter acoustic wave and backward Alfvén wave in magnetically-dominated plasma, in which the magnetization parameter $σ$ (energy density ratio of background magnetic field to matter) exceeds unity. We analyze relativistic magnetohydrodynamics (MHD), focusing on wave frequencies sufficiently lower than the plasma and cyclotron frequencies. We derive analytical formulae for the dispersion relation and growth rate of the instability as a function of the magnetization $σ$, wave amplitude $η$, and plasma temperature $θ$. We find that PDI persists even in high magnetization $σ$, albeit with a decreased growth rate up to $σ\to\infty$. Our formulae are useful for estimating the decay of Alfvén wave into acoustic wave and heat in high magnetization $σ$ plasma, which is a ubiquitous phenomenon such as in pulsars, magnetars, and fast radio bursts.
format Preprint
id arxiv_https___arxiv_org_abs_2404_15689
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Parametric decay instability of circularly polarized Alfvén wave in magnetically dominated plasma
Ishizaki, Wataru
Ioka, Kunihito
High Energy Astrophysical Phenomena
Optics
Plasma Physics
We investigate parametric decay instability (PDI) of circularly polarized Alfvén wave into daughter acoustic wave and backward Alfvén wave in magnetically-dominated plasma, in which the magnetization parameter $σ$ (energy density ratio of background magnetic field to matter) exceeds unity. We analyze relativistic magnetohydrodynamics (MHD), focusing on wave frequencies sufficiently lower than the plasma and cyclotron frequencies. We derive analytical formulae for the dispersion relation and growth rate of the instability as a function of the magnetization $σ$, wave amplitude $η$, and plasma temperature $θ$. We find that PDI persists even in high magnetization $σ$, albeit with a decreased growth rate up to $σ\to\infty$. Our formulae are useful for estimating the decay of Alfvén wave into acoustic wave and heat in high magnetization $σ$ plasma, which is a ubiquitous phenomenon such as in pulsars, magnetars, and fast radio bursts.
title Parametric decay instability of circularly polarized Alfvén wave in magnetically dominated plasma
topic High Energy Astrophysical Phenomena
Optics
Plasma Physics
url https://arxiv.org/abs/2404.15689