Non-Gaussian equilibrium in a long-range Hamiltonian system
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- 30 October 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (5), 056134
- https://doi.org/10.1103/physreve.64.056134
Abstract
We study the dynamics of a system of N classical spins with infinite-range interaction. We show that, if 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, Lévy walks, and dynamical correlation in phase space.Keywords
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