Non-Gaussian equilibrium in a long-range Hamiltonian system

Vito Latora, Andrea Rapisarda, and Constantino Tsallis
Phys. Rev. E 64, 056134 – Published 30 October 2001
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Abstract

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.

  • Received 26 March 2001

DOI:https://doi.org/10.1103/PhysRevE.64.056134

©2001 American Physical Society

Authors & Affiliations

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

  • *Email address: vito.latora@ct.infn.it
  • Email address: andrea.rapisarda@ct.infn.it
  • Email address: tsallis@cbpf.br

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Issue

Vol. 64, Iss. 5 — November 2001

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