Exact results for a noise-induced bistable system
Statistical Mechanics
2015-06-23 v2 Biological Physics
Abstract
A stochastic system where bistability is caused by noise has been recently investigated by Biancalani et al. (PRL 112:038101, 2014). They have computed the mean switching time for such a system using a continuous Fokker-Planck equation derived from the Taylor expansion of the Master equation to estimate the parameter of such a system from experiment. In this article, we provide the exact solution for the full discrete system without resorting to continuous approximation and obtain the expression for the mean switching time. We further extend this investigation by solving exactly the Master equation and obtaining the expression of other quantities of interests such as the dynamics of the moments and the equilibrium time.
Cite
@article{arxiv.1501.01412,
title = {Exact results for a noise-induced bistable system},
author = {Bahram Houchmandzadeh and Marcel Vallade},
journal= {arXiv preprint arXiv:1501.01412},
year = {2015}
}