Large-deviation theory for a Brownian particle on a ring: a WKB approach
Statistical Mechanics
2019-02-20 v1
Abstract
We study the large deviation function of the displacement of a Brownian particle confined on a ring. In the zero noise limit this large deviation function has a cusp at zero velocity given by the Freidlin-Wentzell theory. We develop a WKB approach to analyse how this cusp is rounded in the weak noise limit.
Keywords
Cite
@article{arxiv.1809.10587,
title = {Large-deviation theory for a Brownian particle on a ring: a WKB approach},
author = {Karel Proesmans and Bernard Derrida},
journal= {arXiv preprint arXiv:1809.10587},
year = {2019}
}