An infinite system of Brownian balls with infinite range interaction

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:90

Article

Fradon, M ; Roelly, S ; Tanemura, H

关键词: Gibbs state;    interacting particle system;    hard core potential;    percolation model;    Skorohod equation;    infinite range interaction;   

DOI  :  10.1016/S0304-4149(00)00036-3

来源: Elsevier

【 摘 要 】

We study an infinite system of Brownian hard balls, moving in R-d and submitted to a smooth infinite range pair potential. It is represented by a diffusion process, which is constructed as the unique strong solution of an infinite-dimensional Skorohod equation. We also prove that canonical Gibbs states associated to the sum of the hard core potential and the pair potential are reversible measures for the dynamics. (C) 2000 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free