  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.
