{ "id": "cond-mat/9905064", "version": "v1", "published": "1999-05-05T19:23:23.000Z", "updated": "1999-05-05T19:23:23.000Z", "title": "Statistical-thermodynamical foundations of anomalous diffusion", "authors": [ "Damian H. Zanette" ], "comment": "13 pages, 8 figures; to appear in special issue of Braz. J. Phys. as invited review", "categories": [ "cond-mat.stat-mech", "adap-org", "nlin.AO" ], "abstract": "It is shown that Tsallis' generalized statistics provides a natural frame for the statistical-thermodynamical description of anomalous diffusion. Within this generalized theory, a maximum-entropy formalism makes it possible to derive a mathematical formulation for the mechanisms that underly Levy-like superdiffusion, and for solving the nonlinear Fokker-Planck equation.", "revisions": [ { "version": "v1", "updated": "1999-05-05T19:23:23.000Z" } ], "analyses": { "keywords": [ "anomalous diffusion", "statistical-thermodynamical foundations", "nonlinear fokker-planck equation", "maximum-entropy formalism", "natural frame" ], "tags": [ "review article" ], "publication": { "doi": "10.1590/S0103-97331999000100010", "journal": "Brazilian Journal of Physics", "year": 1999, "month": "Mar", "volume": 29, "number": 1, "pages": 108 }, "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999BrJPh..29..108Z" } } }