1202.2201 (Su-Chan Park)

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

Su-Chan Park

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.

View original: http://arxiv.org/abs/1202.2201