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26 April 2024

» arxiv » 0809.3400

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Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems
Romain Bachelard ; Cristel Chandre ; Duccio Fanelli ; Xavier Leoncini ; Stefano Ruffo ;
Date:	19 Sep 2008
Abstract:	We investigate the dynamics of many-body long-range interacting systems, taking the Hamiltonian Mean Field model as a case study. We show that an abundance of regular trajectories, associated with invariant tori of the single-particle dynamics, exists. The presence of such tori provides a dynamical interpretation of the emergence of long-lasting out-of-equilibrium regimes observed generically in long-range systems. This is alternative to a previous statistical mechanics approach to such phenomena which was based on a maximum entropy principle. Previously detected out-of-equilibrium phase transitions are also reinterpreted within this framework.
Source:	arXiv, 0809.3400
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