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

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dc.creatorBachelard, Romain
dc.creatorChandre, Cristel
dc.creatorFanelli, Duccio
dc.creatorLeoncini, Xavier
dc.creatorRuffo, Stefano
dc.date2008-09-19
dc.date2009-01-12
dc.date.accessioned2026-07-07T12:27:55Z
dc.date.available2026-07-07T12:27:55Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0809.3400
dc.identifierhttp://arxiv.org/abs/0809.3400
dc.identifierPhysical Review Letters 101, 26 (2008) 260603
dc.identifierdoi:10.1103/PhysRevLett.101.260603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215372
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.titleAbundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems
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