Eur. Phys. J. B (2014) 87: 299
https://doi.org/10.1140/epjb/e2014-50592-3

Regular Article

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

¹ Centro de Investigaciones y Transferencia de Santiago del Estero (CITSE), Universidad Nacional de Santiago de Estero, CONICET Ruta Nacional 9, Km 1125, Villa el Zanjón, 4206 Santiago del Estero, Argentina
² Departamento de Física, Universidad Nacional de San Luis, INFAP, CONICET, Chacabuco 917, D5700 BWS San Luis, Argentina
³ CONICET, Centro Atómico Bariloche, R8402AGP San Carlos de Bariloche, Río Negro, Argentina

^a e-mail: froma@unsl.edu.ar

Received: 1 September 2014
Received in final form: 30 October 2014
Published online: 10 December 2014

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.