1 PN近似下自引力系统的Fokker-Planck-Rosenbluth型方程
Fokker-Planck-Rosenbluth-Type Equations for Self-gravitating Systems in 1PN Approximation
摘要：
在后牛顿方法（1 PN）下，考虑一阶相对论修正，给出了多粒子自引力系统的Fokker-Planck-Rosenbluth型（FPR）方程的两种形式.第一种方法从最近由G. Chacon-Acosta和G. Kremer（Phys.Rev.E76，021201，2007）。第二个推导是基于建立一个1 PN-BBGKY的层次，系统地开发从1 PN微观力的法律和使用Klimontovich-Dupree（KD）的方法。我们关闭的层次结构的两点关联函数，充分描述了松弛过程的介绍。这张图片揭示了一个方面，没有考虑在第一个配方：三元相关模式的扩散系数的贡献，作为一个后果的性质的1 PN相互作用。这两个公式都可以被认为是由Rezania和Sobalia（Astron. Astrophys. 54，1110-1114，2000），恒星系统的引力的相对论效应发挥了重要作用。
英文摘要：
We present two formulations of Fokker-Planck-Rosenbluth-type (FPR) equations for many-particle self-gravitating systems, with first order relativistic corrections in the post-Newtonian approach (1PN). The first starts from a covariant Fokker-Planck equation for a simple gas, introduced recently by G. Chacon-Acosta and G. Kremer (Phys. Rev. E 76, 021201, 2007). The second derivation is based on the establishment of an 1PN-BBGKY hierarchy, developed systematically from the 1PN microscopic law of force and using the Klimontovich-Dupree (KD) method. We close the hierarchy by the introduction of a two-point correlation function that describes adequately the relaxation process. This picture reveals an aspect that is not considered in the first formulation: the contribution of ternary correlation patterns to the diffusion coefficients, as a consequence of the nature of 1PN interaction. Both formulations can be considered as a generalization of the equation derived by Rezania and Sobouti (Astron. Astrophys. 54, 1110-1114, 2000), to stellar systems where the relativistic effects of gravitation play a significant role.
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