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Article Dans Une Revue J.Stat.Mech. Année : 2018

Dynamical off-equilibrium scaling across magnetic first-order phase transitions

Résumé

We investigate the off-equilibrium dynamics of a classical spin system with symmetry in 2  <  D  <  4 spatial dimensions and in the limit . The system is set up in an ordered equilibrium state and is subsequently driven out of equilibrium by slowly varying the external magnetic field h across the transition line at fixed temperature . We distinguish the cases where the magnetic transition is continuous and where the transition is discontinuous. In the former case, we apply a standard Kibble–Zurek approach to describe the non-equilibrium scaling and formally compute the correlation functions and scaling relations. For the discontinuous transition we develop a scaling theory which builds on the coherence length rather than the correlation length since the latter remains finite for all times. Finally, we derive the off-equilibrium scaling relations for the hysteresis loop area during a round-trip protocol that takes the system across its phase transition and back. Remarkably, our results are valid beyond the large-n limit.

Dates et versions

hal-01952957 , version 1 (12-12-2018)

Identifiants

Citer

Stefano Scopa, Sascha Wald. Dynamical off-equilibrium scaling across magnetic first-order phase transitions. J.Stat.Mech., 2018, 1811 (11), pp.113205. ⟨10.1088/1742-5468/aaeb46⟩. ⟨hal-01952957⟩
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