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

Abstract

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.

15 pages

Cited by in corpus (2)

• On the non-Markovian Enskog Equation for Granular Gases
• Approaches to Derivation of the Boltzmann Equation with Hard Sphere Collisions