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Fast Monte Carlo simulations and singularities in the probability distributions of non-equilibrium systems

arXiv:nlin/0212038 · doi:10.1103/PhysRevLett.90.210201

Abstract

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.

4 pages, 4 figures