{ "id": "1103.4840", "version": "v2", "published": "2011-03-24T18:56:07.000Z", "updated": "2011-04-06T15:58:45.000Z", "title": "Fokker-Planck equation for transport of wave packets in nonlinear disordered media", "authors": [ "Nicolas Cherroret", "Thomas Wellens" ], "comment": "15 pages, 3 figures", "journal": "Phys. Rev. E 84, 021114 (2011)", "doi": "10.1103/PhysRevE.84.021114", "categories": [ "cond-mat.dis-nn" ], "abstract": "Starting from first principles, we formulate a theory of wave packet propagation in a nonlinear, disordered medium of any dimension, through the derivation of a Fokker-Planck transport equation. Our theory is based on a diagrammatic expansion of the wave packet's density, and is supported by a heuristic picture that involves a Boltzmann equation with an effective, external potential. Our approach also confirms results obtained in previous work for two-dimensional, nonlinear disordered media.", "revisions": [ { "version": "v2", "updated": "2011-04-06T15:58:45.000Z" } ], "analyses": { "subjects": [ "05.60.Gg", "42.25.Dd", "03.75.-b", "42.65.Sf" ], "keywords": [ "disordered medium", "nonlinear disordered media", "fokker-planck equation", "wave packets density", "wave packet propagation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2011, "month": "Aug", "volume": 84, "number": 2, "pages": "021114" }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvE..84b1114C" } } }