Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system

Preprint

4 September 2001

preprint
Published by arXiv in arXiv

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, L\'evy walks and dynamical correlation in phase-space. We show that the Termodynamic 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 {\em new equilibrium state} where nonextensive thermodynamics seems to apply.

Keywords

NONEXTENSIVE THERMODYNAMICS
WALKS AND DYNAMICAL
HAMILTONIAN SYSTEM
RANGE HAMILTONIAN
THERMODYNAMICS
FINGERPRINTS
ITL

All Related Versions

Version 1, 2001-09-04, ArXiv
Version 2, 2001-09-05, ArXiv
Version 3, 2001-11-06, ArXiv
Published version: Physica A: Statistical Mechanics and its Applications, 305 (1-2), 129.

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