The Fokker-Planck equation for bistable potential in the optimized expansion
Statistical Mechanics
2009-04-15 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.cond-mat/0111389,
title = {The Fokker-Planck equation for bistable potential in the optimized expansion},
author = {Anna Okopińska},
journal= {arXiv preprint arXiv:cond-mat/0111389},
year = {2009}
}
Comments
12 pages, LATEX, 3 Postscript figures compressed and