Kinetic transverse dispersion relation for relativistic magnetized electron-positron plasmas with maxwell-juttner velocity distribution functions
Kinetic transverse dispersion relation for relativistic magnetized electron-positron plasmas with maxwell-juttner velocity distribution functions
复制标题
具有麦克斯韦-贾特纳速度分布函数的相对论磁化正负电子等离子体的动力学横向色散关系
DOI：
10.1063/1.4894679
复制
发表时间：
2014
影响因子：
2.2
通讯作者：
J. Valdivia
中科院分区：
文献类型：
--
作者：
R. A. López;P. Moya;V. Muñoz;A. Viñas;J. Valdivia
我们使用动力学处理来研究具有有限相对论温度的磁化各向同性相对论电子-正电子等离子体的线性横向色散关系。提出了沿恒定背景磁场传播的电磁波的显式线性色散关系，包括麦克斯韦-朱特纳速度分布函数情况下对整个复频率平面的解析延拓。在不同温度下对这种色散关系进行了数值研究。对于左手解，系统提出了两个分支：电磁普通模式和阿尔芬模式。在低频区域，阿尔文分支有两个色散区，正常区（其中 ∂ω/∂k > 0）和异常区（其中 ∂ω/∂k < 0）。我们发现，在阿尔文分支的异常区，电磁波被衰减，并且存在一个最大波数来抑制阿尔文分支。我们还研究了阿尔文速度和有效等离子体频率与温度的依赖性。我们用相对论全粒子模拟补充了分析和数值方法，这与分析结果一致。
We use a kinetic treatment to study the linear transverse dispersion relation for a magnetized isotropic relativistic electron-positron plasma with finite relativistic temperature. The explicit linear dispersion relation for electromagnetic waves propagating along a constant background magnetic field is presented, including an analytical continuation to the whole complex frequency plane for the case of Maxwell-Juttner velocity distribution functions. This dispersion relation is studied numerically for various temperatures. For left-handed solutions, the system presents two branches, the electromagnetic ordinary mode and the Alfven mode. In the low frequency regime, the Alfven branch has two dispersive zones, the normal zone (where ∂ω/∂k > 0) and an anomalous zone (where ∂ω/∂k < 0). We find that in the anomalous zone of the Alfven branch, the electromagnetic waves are damped, and there is a maximum wave number for which the Alfven branch is suppressed. We also study the dependence of the Alfven velocity and effective plasma frequency with the temperature. We complemented the analytical and numerical approaches with relativistic full particle simulations, which consistently agree with the analytical results.