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任意磁场位形下弱相对论等离子体的普遍色散关系
引用本文:郭世宠,蔡诗东.任意磁场位形下弱相对论等离子体的普遍色散关系[J].物理学报,1987,36(7):870-880.
作者姓名:郭世宠  蔡诗东
作者单位:中国科学院物理研究所
摘    要:由相对论回旋动力论方程出发,推导出弱相对论非均匀等离子体的普遍色散关系。该色散关系可以适用于任意的磁场位形和任意有限频率。在色散关系中把带有速度平方项分母的奇异积分用等离子体漂移色散函数解析地表示出来,从而可以把这一结果用于较系统地解析或半解析地研究由弱相对论效应,磁场的梯度和曲率,回旋频移等共振驱动的各种微观不稳定性的性质。由于推导时考虑了温度各向异性的麦氏分布函数,因而可以直接推广并应用到损失锥非平衡分布的情况。文中还演示了它在低杂漂移不稳定性研究中的应用。由该色散关系出发,可以简捷并系统地得到Drake等人的结果。 关键词

收稿时间:1986-04-29

DISPERSION RELATION OF GENERAL MAGNETICALLY CONFINED WEAK RELATIVISTIC PLASMAS
GUO SHI-CHONG and CAI SHI-DONG.DISPERSION RELATION OF GENERAL MAGNETICALLY CONFINED WEAK RELATIVISTIC PLASMAS[J].Acta Physica Sinica,1987,36(7):870-880.
Authors:GUO SHI-CHONG and CAI SHI-DONG
Abstract:The dispersion relation for weak relativistic inhomogeneous plasma in general magnetic field configurations is derived from the relativistic gyrokinetic equations, which is valid for arbitrary frequencies. In the derivations the singular integrations with the quadratic denominator are represented by the drift plasma dispertion functions. This dispersion relation can be used to study the various micro instabilities driven by gradient and curvature of B, weak relativistic effects, and/or gyrofrequency shift. Extending the results to the nonequilibrium case such as loss-cone distribution is simple and straight forward. For demonstration, we apply it to investigate the lower hybrid drift instability. Using this dispersion relation we can recover the re-suits of Drake et al. in a straight forward and much more transparent way.
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