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arXiv 0901.4050physics.plasm-ph
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各向同性粒子相对论等离子体中波的色散

Dispersion of Waves in Relativistic Plasmas with Isotropic Particle Distributions

Roman V. Shcherbakov

摘要:

朗缪尔和横波的色散规律计算在相对论非磁化形式主义的几个各向同性粒子分布:热,幂律,相对论洛伦兹$κ,$和混合$β$。对于朗缪尔波,在一定的分布参数范围内,确定了超光速无阻尼、亚光速阻尼主模和高阶模的参数。无阻尼和主阻尼模式匹配顺利。主阻尼和第二阻尼模式被发现不匹配顺利。最大波数的存在被发现以上没有纵向模式形式上存在。高阻尼模式被发现是定性不同的热和某些非热分布。与已知结果一致,非热幂律分布的朗道阻尼更强。得到了单无阻尼横模的色散规律。最简单的分布的分析结果。

英文摘要:

The dispersion laws of Langmuir and transverse waves are calculated in the relativistic non-magnetized formalism for several isotropic particle distributions: thermal, power-law, relativistic Lorentzian $κ,$ and hybrid $β$. For Langmuir waves the parameters of superluminal undamped, subluminal damped principal and higher modes are determined for a range of distribution parameters. The undamped and principal damped modes are found to match smoothly. Principal damped and second damped modes are found not to match smoothly. The presence of maximum wavenumber is discovered above that no longitudinal modes formally exist. The higher damped modes are discovered to be qualitatively different for thermal and certain non-thermal distributions. Consistently with the known results, the Landau damping is calculated to be stronger for non-thermal power-law-like distributions. The dispersion law is obtained for the single undamped transverse mode. The analytic results for the simplest distributions are provided.

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