Chaos in the thermodynamic limit

Details Chaos in the thermodynamic limit Chaos in the thermodynamic limit

2000-01-03

arxiv.org/abs/cond-mat/0001010v1

Prog.Theor.Phys.Suppl. 139 (2000) 204

Physics

Condensed Matter

Statistical Mechanics

10 pages, Latex, 4 figures included, invited talk to the Int. school/Conf. on "Let's face Chaos Through Nonlinear Dynamics" Ma

Scientific paper

10.1143/PTPS.139.204

We study chaos in the Hamiltonian Mean Field model (HMF), a system with many degrees of freedom in which $N$ 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.

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