论文标题

扩展相对论动力学模型由标量和两个矢量分布函数组成:应用于自旋电子声波

Extended relativistic kinetic model composed of the scalar and two vector distribution functions: Application to the spin-electron-acoustic waves

论文作者

Andreev, Pavel A.

论文摘要

给出了相对论等离子体的动力学方程的详细确定性推导。将重点放在各种张量尺寸的单坐标分布函数的动态上,但是动力学方程的封闭集由三个函数构建:标量分布函数,偶极矩的矢量分布函数以及速度的矢量分布函数(或在动量空间中的双极力矩)。也讨论了所有两坐标分布功能。它们与它们的限制一起呈现在自洽场近似中。在动力学模型中研究了致密退化等离子体中小振幅自旋 - 声波的动力学。这项工作介绍了动力学方程的推导和解释的确定性方法。因此,在从单个粒子水平到集体函数的过渡过程中,没有任何概率。不考虑热化问题,但是我们可以看到,在热化之前和之后,动力学方程的结构保留了系统。因此,动力学方程可用于处理此项目。

Detailed deterministic derivation of the kinetic equations for the relativistic plasmas is given. Focus is made on the dynamic of one-coordinate distribution functions of various tensor dimensions, but the closed set of kinetic equations is constructed of three functions: the scalar distribution function, the vector distribution function of dipole moment, and the vector distribution function of velocity (or the dipole moment in the momentum space). All two-coordinate distributions functions are discussed as well. They are presented together with their limits existing in the self-consistent field approximation. The dynamics of the small amplitude spin-electron-acoustic waves in the dense degenerate plasmas is are studied within the kinetic model. This work presents the deterministic approach to the derivation and interpretation of the kinetic equations. So, no probability is introduced during the transition from the level of individual particles to the collective functions. Problem of thermalization is not considered, but we can see that the structure of kinetic equations is kept for the system before and after thermalization. Hence, the kinetic equations can be used to approach this item.

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