标题： 硬球的福克-普朗克运动学演化的微观起源 显示英文标题

标题： On Microscopic Origin of the Fokker - Planck Kinetic Evolution of Hard Spheres

摘要： 对由一个微量硬球和有限多个硬球组成的多粒子系统的动力学演化进行严格描述的方法被发展出来。 我们证明，在环境中微量硬球的状态演化可以在由广义福克-普朗克动力学方程所控制的边缘分布函数框架内进行描述，并且涉及该函数的一系列显式定义的泛函。 显示英文摘要

摘要： The rigorous approach to the description of the kinetic evolution of a many-particle system composed of a trace hard sphere and an environment of finitely many hard spheres is developed. We prove that the evolution of states of a trace hard sphere in an environment can be described within the framework of the marginal distribution function governed by the generalized Fokker -- Planck kinetic equation and an infinite sequence of the explicitly defined functionals of this function.