The Fokker-Planck equation for bistable potential in the optimized expansion

Details The Fokker-Planck equation for bistable potential in the optimized expansion The Fokker-Planck equation for bistable potential in the optimized expansion

2001-11-21

arxiv.org/abs/cond-mat/0111389v1

Phys.Rev.E65:062101,2002

Physics

Condensed Matter

Statistical Mechanics

12 pages, LATEX, 3 Postscript figures compressed and

Scientific paper

10.1103/PhysRevE.65.062101

The optimized expansion is used to formulate a systematic approximation scheme to the probability distribution of a stochastic system. The first order approximation for the one-dimensional system driven by noise in an anharmonic potential is shown to agree well with the exact solution of the Fokker-Planck equation. Even for a bistable system the whole period of evolution to equilibrium is correctly described at various noise intensities.

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