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Critical behavior and out-of-equilibrium dynamics of a two-dimensional Ising model with dynamic couplings

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  • Oscar Pinto
  • Federico Romá
  • Sebastian Bustingorry

Abstract

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest neighbors of each spin pair, which prevents the system from ordering in a full ferromagnetic or antiferromagnetic state. Using a parallel-tempering Monte Carlo algorithm, we find that the model undergoes a continuous phase transition at finite temperature, which belongs to the Ising universality class. The properties of the bond structure and the ground-state entropy are also studied. Finally, we analyze the out-of-equilibrium dynamics which displays typical glassy characteristics at a temperature well below the critical one. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Oscar Pinto & Federico Romá & Sebastian Bustingorry, 2014. "Critical behavior and out-of-equilibrium dynamics of a two-dimensional Ising model with dynamic couplings," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(12), pages 1-10, December.
    • Handle: RePEc:spr:eurphb:v:87:y:2014:i:12:p:1-10:10.1140/epjb/e2014-50592-3
    DOI: 10.1140/epjb/e2014-50592-3
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    Statistical and Nonlinear Physics;

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