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

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

2002-12-17

arxiv.org/abs/nlin/0212038v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.90.210201

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.

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