A mechanical model of Brownian motion with uniform motion area

Song Liang*

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

We consider a system of plural massive particles interacting with an ideal gas, evolved according to non-random mechanical principles, via interaction potentials. We first prove the weak convergence of the (position, velocity)-process of the massive particles until certain time, under a certain scaling limit, and give the precise expression of the limiting process, a diffusion process. In the second half, we consider a special case which includes the case of "two same type massive particles" as a concrete example, and prove the convergence of the process of the massive particles until any time. The precise description of the limit process, a combination of a "diffusion phase" and a "uniform motion phase", is also given.

本文言語English
ページ(範囲)235-334
ページ数100
ジャーナルJournal of Mathematical Sciences (Japan)
21
2
出版ステータスPublished - 2014
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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