%0 Journal Article
%T Langevin dynamics with a tilted periodic potential
%A Gioia Carinci
%A Stephan Luckhaus
%J Mathematics
%D 2012
%I arXiv
%R 10.1007/s10955-013-0721-0
%X 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.
%U http://arxiv.org/abs/1208.1651v2