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

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.

preprint2012arXivOpen access
I. V. GapyakV. I. Gerasimenko
cond-mat.stat-mechmath.APmath-phmath.MP
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I. V. GapyakV. I. Gerasimenko

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