Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system
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 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.
Keywords
Cite
@article{arxiv.cond-mat/0109056,
title = {Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system},
author = {V. Latora and A. Rapisarda and C. Tsallis},
journal= {arXiv preprint arXiv:cond-mat/0109056},
year = {2015}
}
Comments
ReVteX, 10 pages, 5 ps figures, talk presented by V. Latora at NEXT 2001. Revised version with improved figs and updated refs. To be published in Physica A