V. Latora, A. Rapisarda, S. Ruffo
Published 2000-01-03Version 1
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.
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
Journal: Prog.Theor.Phys.Suppl. 139 (2000) 204
Glassy phase in the Hamiltonian Mean Field model
Action diffusion and lifetimes of quasistationary states in the Hamiltonian Mean Field model
Out of Equilibrium Solutions in the $XY$-Hamiltonian Mean Field model
