Noise delayed decay of unstable states: theory versus numerical simulations

Details Noise delayed decay of unstable states: theory versus numerical simulations Noise delayed decay of unstable states: theory versus numerical simulations

2004-05-18

arxiv.org/abs/cond-mat/0405394v2

Physics

Condensed Matter

Statistical Mechanics

9 pages, 6 figures, in press in J. Phys. A

Scientific paper

10.1088/0305-4470/37/20/001

We study the noise delayed decay of unstable nonequilibrium states in nonlinear dynamical systems within the framework of the overdamped Brownian motion model. We give the exact expressions for the decay times of unstable states for polynomial potential profiles and obtain nonmonotonic behavior of the decay times as a function of the noise intensity for the unstable nonequilibrium states. The analytical results are compared with numerical simulations.

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