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
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2014