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
Chaos in the thermodynamic limit / V., Latora; A., Rapisarda; Ruffo, Stefano. - In: PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT. - ISSN 0375-9687. - 139:(2000), pp. 204-213. [10.1143/PTPS.139.204]
Chaos in the thermodynamic limit
Ruffo, Stefano
2000-01-01
Abstract
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 caseI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
