Non-Gaussian equilibrium in a long-range Hamiltonian system

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  • 26 March 2001
Abstract
We study the dynamics of a system of N classical spins with infinite-range interaction. We show that, when the thermodynamic limit is taken before the infinite-time limit, the system does not relax to the Boltzmann-Gibbs equilibrium, but exhibits different equilibrium properties, characterized by stable non-Gaussian velocity distributions and dynamical power-law correlation in phase-space. These results are typical of non-extensive systems and are consistent with the predictions of a generalized non-extensive thermodynamics recently proposed

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