Systems with long-range interactions display a short-time relaxation towards quasistationary states whose lifetime increases with system size. With reference to the Hamiltonian mean field model, we here show that a maximum entropy principle, based on Lynden-Bell’s pioneering idea of “violent relaxation,” predicts the presence of out-of-equilibrium phase transitions separating the relaxation towards homogeneous (zero magnetization) or inhomogeneous (nonzero magnetization) quasistationary states. When varying the initial condition within a family of “water bags” with different initial magnetization and energy, first- and second-order phase transition lines are found that merge at an out-of-equilibrium tricritical point. Metastability is theoretically predicted and numerically checked around the first-order phase transition line.

Nonequilibrium tricritical point in a system with long-range interactions / A. Antoniazzi; D. Fanelli; S. Ruffo; Y. Y. Yamaguchi. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 99:(2007), pp. 040601-1-040601-4. [10.1103/PhysRevLett.99.040601]

Nonequilibrium tricritical point in a system with long-range interactions

FANELLI, DUCCIO;RUFFO, STEFANO;
2007

Abstract

Systems with long-range interactions display a short-time relaxation towards quasistationary states whose lifetime increases with system size. With reference to the Hamiltonian mean field model, we here show that a maximum entropy principle, based on Lynden-Bell’s pioneering idea of “violent relaxation,” predicts the presence of out-of-equilibrium phase transitions separating the relaxation towards homogeneous (zero magnetization) or inhomogeneous (nonzero magnetization) quasistationary states. When varying the initial condition within a family of “water bags” with different initial magnetization and energy, first- and second-order phase transition lines are found that merge at an out-of-equilibrium tricritical point. Metastability is theoretically predicted and numerically checked around the first-order phase transition line.
2007
99
040601-1
040601-4
A. Antoniazzi; D. Fanelli; S. Ruffo; Y. Y. Yamaguchi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/329557
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