# Fokker-Planck equation for bistable potential in the optimized expansion.

@article{Okopiska2001FokkerPlanckEF, title={Fokker-Planck equation for bistable potential in the optimized expansion.}, author={Anna Okopińska}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2001}, volume={65 6 Pt 1}, pages={ 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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