English

Non-Gaussian equilibrium in a long-range Hamiltonian system

Condensed Matter 2009-11-07 v3 Astrophysics Mathematical Physics math.MP Chaotic Dynamics Nuclear Theory

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

Cite

@article{arxiv.cond-mat/0103540,
  title  = {Non-Gaussian equilibrium in a long-range Hamiltonian system},
  author = {V. Latora and A. Rapisarda and C. Tsallis},
  journal= {arXiv preprint arXiv:cond-mat/0103540},
  year   = {2009}
}

Comments

ReVteX, 6 pages, 3 ps figures, revised version, figures modified more arguments and refs added, typos corrected

R2 v1 2026-07-22T10:18:51.911Z