{ "id": "cond-mat/9911317", "version": "v1", "published": "1999-11-19T18:34:05.000Z", "updated": "1999-11-19T18:34:05.000Z", "title": "Chaotic dynamics and superdiffusion in a Hamiltonian system with many degrees of freedom", "authors": [ "V. Latora", "A. Rapisarda", "S. Ruffo" ], "comment": "7 pages, Latex, 6 figures included, Contributed paper to the Int. Conf. on \"Statistical Mechanics and Strongly Correlated System\", 2nd Giovanni Paladin Memorial, Rome 27-29 September 1999, submitted to Physica A", "journal": "Physica A 280 (2000) 81", "doi": "10.1016/S0378-4371(99)00621-4", "categories": [ "cond-mat.stat-mech", "chao-dyn", "nlin.CD" ], "abstract": "We discuss recent results obtained for the Hamiltonian Mean Field model. The model describes a system of N fully-coupled particles in one dimension and shows a second-order phase transition from a clustered phase to a homogeneous one when the energy is increased. Strong chaos is found in correspondence to the critical point on top of a weak chaotic regime which characterizes the motion at low energies. For a small region around the critical point, we find anomalous (enhanced) diffusion and L\\'evy walks in a transient temporal regime before the system relaxes to equilibrium.", "revisions": [ { "version": "v1", "updated": "1999-11-19T18:34:05.000Z" } ], "analyses": { "keywords": [ "hamiltonian system", "chaotic dynamics", "hamiltonian mean field model", "superdiffusion", "second-order phase transition" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }