Anomalous metastability in a temperature-driven transition

Miguel Ibanez Berganza, Pietro Coletti, Alberto Petri
IPCF-CNR, UOS Roma Kerberos and Dipartimento di Fisica, Universita "La Sapienza", Piazzale A. Moro, 5, 00185 Roma, Italy
arXiv:1403.4832 [cond-mat.stat-mech], (19 Mar 2014)


   author={Ib{‘a}{~n}ez Berganza}, M. and {Coletti}, P. and {Petri}, A.},

   title={"{Anomalous metastability in a temperature-driven transition}"},

   journal={ArXiv e-prints},




   keywords={Condensed Matter – Statistical Mechanics},




   adsnote={Provided by the SAO/NASA Astrophysics Data System}


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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.
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