Nonstationary Optimal Paths and Tails of Prehistory Probability Density in Multistable Stochastic Systems

Details Nonstationary Optimal Paths and Tails of Prehistory Probability Density in Multistable Stochastic Systems Nonstationary Optimal Paths and Tails of Prehistory Probability Density in Multistable Stochastic Systems

1997-04-23

arxiv.org/abs/cond-mat/9704199v1

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 16 pages (incl. figures), http://www.princeton.edu/~jbotina To appear in Phys. Rev. E, Vol. 55, No. 5 (1997)

Scientific paper

10.1103/PhysRevE.55.5338

The tails of prehistory probability density in nonlinear multistable stochastic systems driven by white Gaussian noise, which has been a subject of recent study, are analyzed by employing the concepts of nonstationary optimal fluctuations. Results of numerical simulations evidence that the prehistory probability density is non-Gaussian and highly asymmetrical that is an essential feature of noise driven fluctuations in nonlinear systems. We show also that in systems with the detail balance the prehistory probability density is the conventional transition probability that obeys the backward Kolmogorov equation.

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