Exact results for a noise-induced bistable system

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Bahram Houchmandzadeh, Marcel Vallade

Abstract

A stochastic system where bistability is caused by noise has been recently investigated by Biancalani et al. [Phys. Rev. Lett. 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.

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Citations

Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Louise DysonAlan J McKane
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Taichi Haruna
Nov 22, 2015·Theory in Biosciences = Theorie in Den Biowissenschaften·Tat Dat TranJürgen Jost
Oct 3, 2019·Physical Review. E·Francisco Herrerías-Azcué, Tobias Galla
Jun 25, 2020·Physical Review. E·Adrián A BudiniManuel O Cáceres
Feb 20, 2021·Physical Review. E·Nagi Khalil, Tobias Galla

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