arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2412.13643physics.plasm-ph
收藏

非均匀相对论经典与简并电子-离子磁等离子体中的瑞利-泰勒不稳定性

Rayleigh-Taylor instability in inhomogeneous relativistic classical and degenerate electron-ion magnetoplasmas

R. Dey, A. P. Misra

AI总结:

本文在非均匀相对论磁等离子体中系统研究瑞利-泰勒不稳定性,覆盖经典电子、完全简并电子和部分简并电子三种情形,推导并分析了不稳定性增长率的一般表达式,推广了既有理论。

摘要:

我们研究了在重力作用下、含热离子的可压缩相对论磁等离子体流体中静电平面波扰动的瑞利-泰勒不稳定性(RTI),分三种不同情形:(i)电子处于等温平衡,即经典或非简并情形;(ii)电子完全简并($T_e=0$);(iii)电子部分简并或具有有限温度简并($T_e\neq0$)。在情形(i)和(iii)中,我们重点关注粒子热能小于或大于静止质能的状态,即 $β_e \equiv k_{\mathrm B}T_e/{m_ec^2}<1~\rm{或}~>1$;情形(ii)则考虑从弱相对论到超相对论的简并状态。我们得到了不稳定性增长率的一般表达式,并在与实验室和天体物理等离子体相关的三种不同情形下进行了分析,从而推广并推进了已有的瑞利-泰勒不稳定性理论。

英文摘要:

We study the Rayleigh-Taylor instability (RTI) of electrostatic plane wave perturbations in compressible relativistic magnetoplasma fluids with thermal ions under gravity in three different cases of when (i) electrons are in isothermal equilibrium, i.e., classical or nondegenerate, (ii) electrons are fully degenerate (with $T_e=0$), and (iii) electrons are partially degenerate or have finite temperature degeneracy (with $T_e\neq0$). While in the cases of (i) and (iii), we focus on the regimes where the particle's thermal energy is more or less than the rest mass energy, i.e., $β_e \equiv k_{\mathrm B}T_e/{m_ec^2}<1~\rm{or}~>1$, the case (ii) considers from weakly to ultra-relativistic degenerate regimes. A general expression of the growth rate of instability is obtained and analyzed in the three different cases relevant to laboratory and astrophysical plasmas, which generalize and advance the previous theory on RTI.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑