A classical mechanical model of Brownian motion with plural particles

Shigeo Kusuoka, Song Liang

研究成果: Article査読

10 被引用数 (Scopus)

抄録

We give a connection between diffusion processes and classical mechanical systems in this paper. Precisely, we consider a system of plural massive particles interacting with an ideal gas, evolved according to classical mechanical principles, via interaction potentials. We prove the almost sure existence and uniqueness of the solution of the considered dynamics, prove the convergence of the solution under a certain scaling limit, and give the precise expression of the limiting process, a diffusion process.

本文言語English
ページ(範囲)733-838
ページ数106
ジャーナルReviews in Mathematical Physics
22
7
DOI
出版ステータスPublished - 2010 8
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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