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

Autor:	Gapyak, I. V., Gerasimenko, V. I.
Rok vydání:	2012
Předmět:	Mathematical Physics Condensed Matter - Statistical Mechanics Mathematics - Analysis of PDEs 35Q20 47J35
Zdroj:	Math. Bulletin Sh. Sci. Soc. 9 (2012) 23-43
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1208.1647 Zobrazit plný text záznamu View this record from Arxiv