非均匀多组分自引力系统的缀饰扩散系数和摩擦系数
Dressed diffusion and friction coefficients in inhomogeneous multicomponent self-gravitating systems
摘要：
本文导出了一个稳定的、束缚的、多组分自引力非均匀系统中扩散系数和动力学摩擦系数的一般自洽表达式。他们解释了碰撞粒子的详细动力学和它们通过集体引力相互作用的自洽着装。相应的Fokker-Planck方程与相应的非齐次Balescu-Lenard方程完全一致，并且在弱自引力极限下与非齐次Landau方程完全一致。因此，它提供了一个替代的推导，并证明了它们的等效性。相应的随机Langevin方程：它们可以是一个实用的替代数值求解非齐次Fokker-Planck和Balescu-Lenard方程。目前的形式主义允许一个自我一致的描述的长期演化的不同人群覆盖的质量谱，与适当的会计引起的长期质量分离，这应该是感兴趣的各种天体物理背景下，从银河系中心的原恒星盘。
英文摘要：
General self-consistent expressions for the coefficients of diffusion and dynamical friction in a stable, bound, multicomponent self-gravitating and inhomogeneous system are derived. They account for the detailed dynamics of the colliding particles and their self-consistent dressing by collective gravitational interactions. The associated Fokker-Planck equation is shown to be fully consistent with the corresponding inhomogeneous Balescu-Lenard equation and, in the weak self-gravitating limit, to the inhomogeneous Landau equation. Hence it provides an alternative derivation to both and demonstrates their equivalence. The corresponding stochastic Langevin equations are presented: they can be a practical alternative to numerically solving the inhomogeneous Fokker-Planck and Balescu-Lenard equations. The present formalism allows for a self-consistent description of the secular evolution of different populations covering a spectrum of masses, with a proper accounting of the induced secular mass segregation, which should be of interest to various astrophysical contexts, from galactic centers to protostellar discs.
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