Non-Gaussian equilibrium in a long-range Hamiltonian system.
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.
Latora
V
V
Dipartimento di Fisica e Astronomia, Università di Catania, and INFN Sezione di Catania, Corso Italia 57, I-95129 Catania, Italy. vito.latora@ct.infn.it
Rapisarda
A
A
Tsallis
C
C