Fast Monte Carlo simulations and singularities in the probability   distributions of non-equilibrium systems
  A numerical technique is introduced that reduces exponentially the time required for Monte Carlo simulations of non-equilibrium systems. Results for the quasi-stationary probability distribution in two model systems are compared with the asymptotically exact theory in the limit of extremely small noise intensity. Singularities of the non-equilibrium distributions are revealed by the simulations. 
A. Bandrivskyy, S. Beri, D. G. Luchinsky, R. Mannella, and P. V. E.   McClintock