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Phys. Rev. E 64, 056134 (2001) [5 pages]

Non-Gaussian equilibrium in a long-range Hamiltonian system

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Vito Latora1,2,*, Andrea Rapisarda1,†, and Constantino Tsallis3,‡
1Dipartimento di Fisica e Astronomia, Università di Catania, and INFN Sezione di Catania, Corso Italia 57, I-95129 Catania, Italy
2Laboratoire de Physique Thèorique et Modèles Statistiques, Université Paris–Sud, 91405 Orsay Cedex, France
3Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, Brazil

Received 26 March 2001; revised 22 June 2001; published 30 October 2001

We study the dynamics of a system of N classical spins with infinite-range interaction. We show that, if the thermodynamic limit is taken before the infinite-time limit, the system does not relax to the Boltzmann-Gibbs equilibrium, but exhibits different equilibrium properties, characterized by stable non-Gaussian velocity distributions, Lévy walks, and dynamical correlation in phase space.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.056134
DOI:
10.1103/PhysRevE.64.056134
PACS:
05.70.Fh, 64.60.Fr, 05.50.+q

*Email address: vito.latora@ct.infn.it

†Email address: andrea.rapisarda@ct.infn.it

‡Email address: tsallis@cbpf.br

 
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