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arXiv · 1208.1647

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

I. V. Gapyak·V. I. Gerasimenko
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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.

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I. V. Gapyak, V. I. Gerasimenko. 2012-08-08. On Microscopic Origin of the Fokker - Planck Kinetic Evolution of Hard Spheres. https://arxiv.org/abs/1208.1647

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