Out-of-equilibrium phase re-entrance(s) in long-range interacting systems

Staniscia, F; Chavanis, P H; De Ninno, G; Fanelli, D

doi:10.1103/PHYSREVE.80.021138

Title: Out-of-equilibrium phase re-entrance(s) in long-range interacting systems

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Abstract

Systems with long-range interactions display a short-time relaxation toward quasistationary states (QSSs) whose lifetime increases with system size. The application of Lynden-Bell's theory of 'violent relaxation' to the Hamiltonian Mean Field model leads to the prediction of out-of-equilibrium first- and second-order phase transitions between homogeneous (zero magnetization) and inhomogeneous (nonzero magnetization) QSSs, as well as an interesting phenomenon of phase re-entrances. We compare these theoretical predictions with direct N-body numerical simulations. We confirm the existence of phase re-entrance in the typical parameter range predicted from Lynden-Bell's theory, but also show that the picture is more complicated than initially thought. In particular, we exhibit the existence of secondary re-entrant phases: we find unmagnetized states in the theoretically magnetized region as well as persisting magnetized states in the theoretically unmagnetized region. We also report the existence of a region with negative specific heats for QSSs both in the numerical and analytical caloric curves.

Authors:

Staniscia, F ^[1]; Chavanis, P H ^[2]; De Ninno, G ^[3]; Fanelli, D ^[4]

Dipartimento di Fisica, Universita di Trieste, 34127 Trieste (Italy)
Laboratoire de Physique Theorique (IRSAMC), Universite de Toulouse, UPS, F-31062 Toulouse (France)
Sincrotrone Trieste, S.S. 14 km 163.5, Basovizza, 34149 Trieste (Italy)
Dipartimento di Energetica 'Sergio Stecco', Universita di Firenze, via S. Marta 3, 50139 Firenze (Italy)

Publication Date:: Sat Aug 15 00:00:00 EDT 2009

OSTI Identifier:: 21344686

Resource Type:: Journal Article

Journal Name:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

Additional Journal Information:: Journal Volume: 80; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevE.80.021138; (c) 2009 The American Physical Society; Journal ID: ISSN 1539-3755

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTERIZED SIMULATION; HAMILTONIANS; INTERACTION RANGE; LIFETIME; MAGNETIZATION; MANY-BODY PROBLEM; MEAN-FIELD THEORY; ORDER-DISORDER TRANSFORMATIONS; RELAXATION; SPECIFIC HEAT; STATISTICAL MECHANICS; THERMODYNAMICS; DISTANCE; MATHEMATICAL OPERATORS; MECHANICS; PHASE TRANSFORMATIONS; PHYSICAL PROPERTIES; QUANTUM OPERATORS; SIMULATION; THERMODYNAMIC PROPERTIES

Citation Formats


                    Staniscia, F, Sincrotrone Trieste, S.S. 14 km 163.5, Basovizza, 34149 Trieste, Chavanis, P H, Laboratoire de Physique Theorique, De Ninno, G, Physics Department, Nova Gorica University, 5001 Nova Gorica, and Fanelli, D. Out-of-equilibrium phase re-entrance(s) in long-range interacting systems.  United States: N. p., 2009. 
        Web.  doi:10.1103/PHYSREVE.80.021138.

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                    Staniscia, F, Sincrotrone Trieste, S.S. 14 km 163.5, Basovizza, 34149 Trieste, Chavanis, P H, Laboratoire de Physique Theorique, De Ninno, G, Physics Department, Nova Gorica University, 5001 Nova Gorica, & Fanelli, D. Out-of-equilibrium phase re-entrance(s) in long-range interacting systems.  United States.  https://doi.org/10.1103/PHYSREVE.80.021138

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                    Staniscia, F, Sincrotrone Trieste, S.S. 14 km 163.5, Basovizza, 34149 Trieste, Chavanis, P H, Laboratoire de Physique Theorique, De Ninno, G, Physics Department, Nova Gorica University, 5001 Nova Gorica, and Fanelli, D. 2009.  
        "Out-of-equilibrium phase re-entrance(s) in long-range interacting systems".  United States.  https://doi.org/10.1103/PHYSREVE.80.021138.

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@article{osti_21344686,

  title        = {Out-of-equilibrium phase re-entrance(s) in long-range interacting systems},

  author       = {Staniscia, F and Sincrotrone Trieste, S.S. 14 km 163.5, Basovizza, 34149 Trieste and Chavanis, P H and Laboratoire de Physique Theorique and De Ninno, G and Physics Department, Nova Gorica University, 5001 Nova Gorica and Fanelli, D},

  abstractNote = {Systems with long-range interactions display a short-time relaxation toward quasistationary states (QSSs) whose lifetime increases with system size. The application of Lynden-Bell's theory of 'violent relaxation' to the Hamiltonian Mean Field model leads to the prediction of out-of-equilibrium first- and second-order phase transitions between homogeneous (zero magnetization) and inhomogeneous (nonzero magnetization) QSSs, as well as an interesting phenomenon of phase re-entrances. We compare these theoretical predictions with direct N-body numerical simulations. We confirm the existence of phase re-entrance in the typical parameter range predicted from Lynden-Bell's theory, but also show that the picture is more complicated than initially thought. In particular, we exhibit the existence of secondary re-entrant phases: we find unmagnetized states in the theoretically magnetized region as well as persisting magnetized states in the theoretically unmagnetized region. We also report the existence of a region with negative specific heats for QSSs both in the numerical and analytical caloric curves.},

  doi          = {10.1103/PHYSREVE.80.021138},

  url          = {https://www.osti.gov/biblio/21344686},
  journal      = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)},

  issn         = {1539-3755},

  number       = 2,

  volume       = 80,

  place        = {United States},

  year         = {Sat Aug 15 00:00:00 EDT 2009},

  month        = {Sat Aug 15 00:00:00 EDT 2009}

}

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