Nonequilibrium phase transitions and violent relaxation in the Hamiltonian mean-field model
We discuss the nature of nonequilibrium phase transitions in the Hamiltonian mean-field model using detailed numerical simulations of the Vlasov equation and molecular dynamics. Starting from fixed magnetization water bag initial distributions and varying the energy, the states obtained after a viol...
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Published in | Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 85; no. 6 Pt 1; p. 062103 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
United States
28.06.2012
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Subjects | |
Online Access | Get more information |
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Summary: | We discuss the nature of nonequilibrium phase transitions in the Hamiltonian mean-field model using detailed numerical simulations of the Vlasov equation and molecular dynamics. Starting from fixed magnetization water bag initial distributions and varying the energy, the states obtained after a violent relaxation undergo a phase transition from magnetized to nonmagnetized states when going from lower to higher energies. The phase transitions are either first order or are composed of a cascade of phase reentrances. This result is at variance with most previous results in the literature mainly based on the Lynden-Bell theory of violent relaxation. The latter is a rough approximation and, consequently, is not suited for an accurate description of nonequilibrium phase transition in long-range interacting systems. |
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ISSN: | 1550-2376 |
DOI: | 10.1103/physreve.85.062103 |