Anomalous metastability in a temperature-driven transition

Abstract

Langer theory of metastability provides a description of the lifetime and properties of the metastable phase of the Ising model field-driven transition, describing the magnetic field-driven transition in ferromagnets and the chemical potential-driven transition of fluids. An immediate further step is to apply it to the study of a transition driven by the temperature, as the one underwent by the two-dimensional Potts model. For this model a study based on the analytical continuation of the free energy (Meunier, Morel 2000) predicts the anomalous vanishing of the metastable temperature range in the limit of large system size, an issue that has been controversial since the eighties. With a parallel-GPU algorithm we compare the Monte Carlo dynamics with the theory, obtaining agreement and characterizing the anomalous system size dependence. We discuss the microscopic origin of these metastable phenomena, essentially different with respect to the Ising case.

5 pages, 3 figures

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Cited by in corpus (6)

• Dynamic off-equilibrium transition in systems slowly driven across thermal first-order phase transitions
• Statistical physics of nonlinear wave interaction
• How many phases nucleate in the bidimensional Potts model?
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Metastability in the Potts model: exact results in the large q limit
• Phenomenological theory of the Potts model evaporation-condensation transition