{ "id": "0711.1660", "version": "v1", "published": "2007-11-11T16:49:21.000Z", "updated": "2007-11-11T16:49:21.000Z", "title": "The Hamiltonian Mean Field model: anomalous or normal diffusion?", "authors": [ "Andrea Antoniazzi", "Duccio Fanelli", "Stefano Ruffo" ], "comment": "Contributed paper for the international Conference on Complexity, Metastability, and Nonextensivity - CTNEXT 07. To appear in the AIP Conference Proceedings 965", "doi": "10.1063/1.2828723", "categories": [ "cond-mat.stat-mech" ], "abstract": "We consider the out-of-equilibrium dynamics of the Hamiltonian Mean Field (HMF) model, by focusing in particular on the properties of single-particle diffusion. As we shall here demonstrate analytically, if the autocorrelation of momenta in the so-called quasi-stationary states can be fitted by a q-exponential, then diffusion ought to be normal for q<2, at variance with the interpretation of the numerical experiments proposed in Refs. A. Pluchino, A. Rapisarda, Progress in Theoretical Physics Supplement 162, 18 (2006); A. Pluchino, V. Latora, A. Rapisarda, Physica A 338, 60 (2004); A. Rapisarda, A. Pluchino, Europhysics News 36, 202 (2005).", "revisions": [ { "version": "v1", "updated": "2007-11-11T16:49:21.000Z" } ], "analyses": { "subjects": [ "05.45.-a", "05.20.-y", "02.50.Cw" ], "keywords": [ "hamiltonian mean field model", "normal diffusion", "out-of-equilibrium dynamics", "single-particle diffusion", "quasi-stationary states" ], "tags": [ "conference paper", "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007AIPC..965..122A" } } }