{ "id": "1004.4053", "version": "v1", "published": "2010-04-23T05:31:45.000Z", "updated": "2010-04-23T05:31:45.000Z", "title": "Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces", "authors": [ "B. I. Henry", "T. A. M Langlands", "P. Straka" ], "comment": "5 pages", "journal": "Phys.Rev.Lett.105:170602,2010", "doi": "10.1103/PhysRevLett.105.170602", "categories": [ "cond-mat.stat-mech" ], "abstract": "We have derived a fractional Fokker-Planck equation for subdiffusion in a general space-and- time-dependent force field from power law waiting time continuous time random walks biased by Boltzmann weights. The governing equation is derived from a generalized master equation and is shown to be equivalent to a subordinated stochastic Langevin equation.", "revisions": [ { "version": "v1", "updated": "2010-04-23T05:31:45.000Z" } ], "analyses": { "subjects": [ "05.40.Fb", "05.10.Gg", "02.50.Ey" ], "keywords": [ "fractional fokker-planck equation", "space-and-time-dependent forces", "time continuous time random", "continuous time random walks" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2010, "month": "Oct", "volume": 105, "number": 17, "pages": 170602 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "inspire": 874499, "adsabs": "2010PhRvL.105q0602H" } } }