A chain of interacting particles under strain

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:121

Article

Allman, Michael¹  Betz, Volker¹  Hairer, Martin¹ 

[1] Univ Warwick, Dept Math, Coventry CV4 7AL, W Midlands, England

关键词: Interacting Brownian particles;    Pitchfork bifurcation;    Stochastic differential equations;    Singular perturbation;   

DOI  :  10.1016/j.spa.2011.05.007

来源: Elsevier

【 摘 要 】

We investigate the behaviour of a chain of interacting Brownian particles with one end fixed and the other end moving away at slow speed epsilon > 0, in the limit of small noise. The interaction between particles is through a pairwise potential U with finite range b > 0. We consider both overdamped and underdamped dynamics. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free