Non-Gaussian equilibrium in a long-range Hamiltonian system

Preprint

22 June 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0103540

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.

Keywords

GAUSSIAN EQUILIBRIUM
DYNAMICS OF A SYSTEM
HAMILTONIAN SYSTEM
RANGE HAMILTONIAN
GAUSSIAN VELOCITY
THERMODYNAMIC
CORRELATION
LONG RANGE

All Related Versions

Version 1, 2001-03-26, ArXiv
Version 2, 2001-04-26, ArXiv
Version 3, 2001-06-22, ArXiv
Published version: Physical Review E, 64 (5), 056134.

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