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Dynamic metastability in the two-dimensional Potts ferromagnet

Miguel Ibáñez Berganza1,*, Alberto Petri2, and Pietro Coletti3

  • 1IPCF-CNR, UOS Roma Kerberos and Dipartimento di Fisica, Università “La Sapienza,” Piazzale A. Moro, 5, 00185 Roma, Italy
  • 2Istituto dei Sistemi Complessi - CNR, via del Fosso del Cavaliere 100, 00133 Roma, Italy
  • 3Dipartimento di Matematica e Fisica, Università Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy

  • *miguel.berganza@roma1.infn.it
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Phys. Rev. E 89, 052115 – Published 12 May, 2014

DOI: https://doi.org/10.1103/PhysRevE.89.052115

Abstract

We investigate the nonequilibrium dynamics of the two-dimensional (2D) Potts model on the square lattice after a quench below the discontinuous transition point. By means of numerical simulations of systems with q=12, 24, and 48, we observe the onset of a stationary regime below the temperature-driven transition, in a temperature interval decreasing with the system size and increasing with q. These results obtained dynamically agree with those obtained from the analytical continuation of the free energy [J. L. Meunier and A. Morel, Eur. Phys. J. B 13, 341 (2000)], from which metastability in the 2D Potts model results to be a finite-size effect.

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Phys. Rev. E 89, 052115– Published 12 May, 2014
  • Received 28 February 2014

©2014 American Physical Society

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