Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems

Details Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems

2008-09-19

arxiv.org/abs/0809.3400v2

Physical Review Letters 101, 26 (2008) 260603

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.101.260603

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.

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