Gioia Carinci, Stephan Luckhaus
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.
View original:
http://arxiv.org/abs/1208.1651
No comments:
Post a Comment