{ "id": "0909.2112", "version": "v1", "published": "2009-09-11T08:38:34.000Z", "updated": "2009-09-11T08:38:34.000Z", "title": "Subdiffusion in the Nonlinear Schroedinger Equation with Disorder", "authors": [ "Alexander Iomin" ], "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "The nonlinear Schroedinger equation in the presence of disorder is considered. The dynamics of an initially localized wave packet is studied. A subdiffusive spreading of the wave packet is explained in the framework of a continuous time random walk. A probabilistic description of subdiffusion is suggested and a transport exponent of subdiffusion is obtained to be 2/5.", "revisions": [ { "version": "v1", "updated": "2009-09-11T08:38:34.000Z" } ], "analyses": { "subjects": [ "05.45.Yv", "72.15.Rn", "42.25.Dd" ], "keywords": [ "nonlinear schroedinger equation", "subdiffusion", "continuous time random walk", "initially localized wave packet", "transport exponent" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevE.81.017601", "journal": "Physical Review E", "year": 2010, "month": "Jan", "volume": 81, "number": 1, "pages": "017601" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvE..81a7601I" } } }