Chaos in the Thermodynamic Limit | Zendy

Vito Latora | Zendy; Andrea Rapisarda | Zendy; Stefano Ruffo | Zendy

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Chaos in the Thermodynamic Limit

Author(s) -

Vito Latora,

Andrea Rapisarda,

Stefano Ruffo

Publication year - 2000

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.139.204

Subject(s) - degrees of freedom (physics and chemistry) , lyapunov exponent , statistical physics , chaotic , antiferromagnetism , entropy (arrow of time) , ferromagnetism , thermodynamic limit , physics , mathematics , classical mechanics , thermodynamics , quantum mechanics , nonlinear system , computer science , artificial intelligence

We study chaos in the Hamiltonian Mean Field model (HMF), a system with manydegrees of freedom in which $N$ classical rotators are fully coupled. We reviewthe most important results on the dynamics and the thermodynamics of the HMF,and in particular we focus on the chaotic properties.We study the Lyapunovexponents and the Kolmogorov--Sinai entropy, namely their dependence on thenumber of degrees of freedom and on energy density, both for the ferromagneticand the antiferromagnetic case.Comment: 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 supp

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