Order-disorder transition in a model with two symmetric absorbing states

Details Order-disorder transition in a model with two symmetric absorbing states Order-disorder transition in a model with two symmetric absorbing states

2012-02-10

arxiv.org/abs/1202.2201v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 6 figures

Scientific paper

We study the two dimensional interacting monomers model which has two symmetric absorbing states and exhibits two kinds of phase transitions; one is an order-disorder transition and the other is an absorbing phase transition. Our focus is around the order-disorder transition and we investigate if this transition is described by the critical exponents of the two dimensional Ising model. By analyzing the relaxation dynamics of `staggered magnetization', the finite size scaling, and the behavior of the magnetization in the presence of a symmetry breaking field, we show that this model should belong to the Ising universality class. Our results along with the universality hypothesis support that the order-disorder transition in two dimensional models with two symmetric absorbing states is of the Ising universality class, contrary to the recent claim [K. Nam et al., J. Stat. Mech.:Theory Exp. {\bf (2011)} L06001]. Furthermore, we illustrate that the Binder cumulant could be a misleading guide to the critical point in these systems.

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