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Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system

V. Latora·A. Rapisarda·C. Tsallis
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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.

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V. Latora, A. Rapisarda, C. Tsallis. 2001-11-06. Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system. https://doi.org/10.1016/s0378-4371(01)00651-3

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