极端相对论性正负电子对等离子体中横振荡的色散关系
Transverse dispersion law of electron-positron plasma in ultra-relativistic regime
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摘要: 由伏拉索夫方程和费米分布函数的相对论性修正形式推导出相对论性正负电子对等离子体中横波的色散方程,对等离子体中的横波进行解析研究，得到长波支和短波支的色散关系。从解析的色散曲线发现了与Mikhailovskii在极端相对论性情况下对于电子-离子等离子体中色散关系研究相类似的结果:在极端相对论性等离子体中横波的解析色散曲线具有不连续性。基于解析色散曲线的不连续性，进而采用数值计算的方法求解了完整的等离子体色散方程，得到其数值解，数值色散曲线可将解析上的长波和短波衔接起来，使其成为一条完整的色散曲线。Abstract: The plasma dynamics was used in degenerated electron-positron plasma, and the transverse dispersion law in ultra-relativistic regime was investigated. The analytical solutions show that the dispersion curves are discontinuous with separate long wave and short wave solutions. Then the dispersion equation was numerically simulated. The numerical dispersion curve connects the long wave part with the short wave part, thus a full dispersion curve was obtained.
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