{ "id": "cond-mat/0111389", "version": "v1", "published": "2001-11-21T17:42:32.000Z", "updated": "2001-11-21T17:42:32.000Z", "title": "The Fokker-Planck equation for bistable potential in the optimized expansion", "authors": [ "Anna OkopiƄska" ], "comment": "12 pages, LATEX, 3 Postscript figures compressed and", "journal": "Phys.Rev.E65:062101,2002", "doi": "10.1103/PhysRevE.65.062101", "categories": [ "cond-mat.stat-mech", "hep-th" ], "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.", "revisions": [ { "version": "v1", "updated": "2001-11-21T17:42:32.000Z" } ], "analyses": { "keywords": [ "fokker-planck equation", "optimized expansion", "bistable potential", "systematic approximation scheme", "first order approximation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "LaTeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "inspire": 605856 } } }