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

Anna Okopińska
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Abstract

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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Anna Okopińska. 2001-11-21. The Fokker-Planck equation for bistable potential in the optimized expansion. https://doi.org/10.1103/physreve.65.062101

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