classical mechanical model of Brownian motion with plural particles
classical mechanical model of Brownian motion with plural particles
复制标题
多粒子布朗运动的经典力学模型
DOI：
10.1142/s0129055x10004077
复制
发表时间：
2010
影响因子：
1.8
通讯作者：
S. Kusuoka and S. Liang
中科院分区：
文献类型：
--
作者：
Keita Yokoyama;Sam Sanders;Takahiro Yamamoto;坂井哲;A. Shioura;Yu Kawakami;S. Kusuoka and S. Liang
本文给出了扩散过程与经典力学系统之间的联系。准确地说，我们考虑一个系统的多个大质量粒子与理想气体相互作用，根据经典力学原理，通过相互作用势。我们证明了所考虑的动力系统解的几乎处处存在唯一性，证明了解在一定尺度极限下的收敛性，并给出了极限过程-扩散过程的精确表达式.
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.