Langevin Dynamics with a Tilted Periodic Potential

被引：2

作者：

Carinci, Gioia ^{[1
]}

Luckhaus, Stephan ^{[2
]}

机构：

[1] Univ Modena & Reggio Emilia, I-41125 Modena, Italy

[2] Univ Leipzig, D-04109 Leipzig, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2013年 / 151卷 / 05期

关键词：

Langevin dynamics; Avalanche dynamics; Pathwise description; Stochastic differential equations; Dynamical systems; BROWNIAN-MOTION;

D O I：

10.1007/s10955-013-0721-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a Langevin equation for a particle moving in a periodic potential in the presence of viscosity gamma and subject to a further external field alpha. For a suitable choice of the parameters alpha and gamma the related deterministic dynamics yields heteroclinic orbits. In such a regime, in absence of stochastic noise both confined and unbounded orbits coexist. We prove that, with the inclusion of an arbitrarly small noise only the confined orbits survive in a sub-exponential time scale.

引用

页码：870 / 895

页数：26

共 14 条

[1]

[Anonymous], 1996, FOKKER PLANCK EQUATI

[2]

[Anonymous], 1984, Random Perturbations of Dynamical Systems

[3] Pathwise description of dynamic pitchfork bifurcations with additive noise [J].