Chaos in the thermodynamic limit
Statistical Mechanics
2009-10-31 v1 Chaotic Dynamics
Nuclear Theory
Abstract
We study chaos in the Hamiltonian Mean Field model (HMF), a system with many degrees of freedom in which classical rotators are fully coupled. We review the most important results on the dynamics and the thermodynamics of the HMF, and in particular we focus on the chaotic properties.We study the Lyapunov exponents and the Kolmogorov--Sinai entropy, namely their dependence on the number of degrees of freedom and on energy density, both for the ferromagnetic and the antiferromagnetic case.
Keywords
Cite
@article{arxiv.cond-mat/0001010,
title = {Chaos in the thermodynamic limit},
author = {V. Latora and A. Rapisarda and S. Ruffo},
journal= {arXiv preprint arXiv:cond-mat/0001010},
year = {2009}
}
Comments
10 pages, Latex, 4 figures included, invited talk to the Int. school/Conf. on "Let's face Chaos Through Nonlinear Dynamics" Maribor (Slovenia) 27 june - 11 july 1999, submitted to Prog. Theor. Physics suppl