arXiv:cond-mat/0103540·v3·cond-mat
Non-Gaussian equilibrium in a long-range Hamiltonian system
V. Latora (U. of Catania, LPTMS Orsay)🇮🇹 · A. Rapisarda (U. Catania)🇫🇷 · C. Tsallis (CBPF Rio de Janeiro)
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.
Comments: ReVteX, 6 pages, 3 ps figures, revised version, figures modified more arguments and refs added, typos corrected