Weak Chaos in large conservative system -- Infinite-range coupled standard maps

Details Weak Chaos in large conservative system -- Infinite-range coupled standard maps Weak Chaos in large conservative system -- Infinite-range coupled standard maps

2005-01-04

arxiv.org/abs/cond-mat/0501035v2

Complexity, Metastability and Nonextensivity, Proc. 31st Workshop of the International School of Solid State Physics (20-26 Ju

Physics

Condensed Matter

Statistical Mechanics

6 pages, 2 figures. Corrected typos in equation 4. Changed caption in Fig. 1. Corrected references 2 and 6. Acknowledgements a

Scientific paper

We study, through a new perspective, a globally coupled map system that essentially interpolates between simple discrete-time nonlinear dynamics and certain long-range many-body Hamiltonian models. In particular, we exhibit relevant similarities, namely (i) the existence of long-standing quasistationary states (QSS), and (ii) the emergence of weak chaos in the thermodynamic limit, between the present model and the Hamiltonian Mean Field model, a strong candidate for a nonxtensive statistical mechanical approach.

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