Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system

Details Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system

2001-09-04

arxiv.org/abs/cond-mat/0109056v3

Physica A305 (2002) 129

Physics

Condensed Matter

Statistical Mechanics

ReVteX, 10 pages, 5 ps figures, talk presented by V. Latora at NEXT 2001. Revised version with improved figs and updated refs.

Scientific paper

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 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.

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