Park Su-Chan
Department of Physics, The Catholic University of Korea, Bucheon 420-743, Korea.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Apr;85(4 Pt 1):041140. doi: 10.1103/PhysRevE.85.041140. Epub 2012 Apr 25.
We study a model of two-dimensional interacting monomers which has two symmetric absorbing states and exhibits two kinds of phase transition; 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 whether 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 the idea 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. (2011) L06001]. Furthermore, we illustrate that the Binder cumulant could be a misleading guide to the critical point in these systems.
我们研究了一种二维相互作用单体模型，该模型具有两个对称吸收态，并表现出两种相变；一种是有序-无序转变，另一种是吸收相变。我们关注的是有序-无序转变，并且研究这种转变是否由二维伊辛模型的临界指数来描述。通过分析“交错磁化强度”的弛豫动力学、有限尺寸标度以及在存在对称破缺场时磁化强度的行为，我们表明该模型应属于伊辛普适类。我们的结果连同普适性假设支持了这样一种观点，即具有两个对称吸收态的二维模型中的有序-无序转变属于伊辛普适类，这与最近的断言[K. Nam等人，《统计力学杂志：理论与实验》(2011) L06001]相反。此外，我们还表明，在这些系统中，宾德累积量可能会对临界点产生误导。
