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Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system

Author

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  • Latora, Vito
  • Rapisarda, Andrea
  • Tsallis, Constantino

Abstract

We study the dynamics of a Hamiltonian system of N classical spins with infinite-range interaction. We present numerical results which confirm the existence of metaequilibrium quasi stationary states (QSS), characterized by non-Gaussian velocity distributions, anomalous diffusion, Lévy walks and dynamical correlation in phase-space. We show that the thermodynamic limit (TL) and the infinite-time limit (ITL) do not commute. Moreover, if the TL is taken before the ITL the system does not relax to the Boltzmann–Gibbs equilibrium, but remains in this new equilibrium state where nonextensive thermodynamics seems to apply.

Suggested Citation

  • Latora, Vito & Rapisarda, Andrea & Tsallis, Constantino, 2002. "Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 129-136.
    • Handle: RePEc:eee:phsmap:v:305:y:2002:i:1:p:129-136
    DOI: 10.1016/S0378-4371(01)00651-3
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    Cited by:

    1. Vignat, Christophe & Naudts, Jan, 2005. "Stability of families of probability distributions under reduction of the number of degrees of freedom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 296-302.

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