Higher-order moments at the critical point of the Ziff-Gulari-Barshad model

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 2):036104. doi: 10.1103/PhysRevE.64.036104. Epub 2001 Aug 13.

Abstract

We studied the continuous phase transition between the active and the absorbing state of the Ziff-Gulari-Barshad (ZGB) model. Through Monte Carlo simulations we determined all the moments of the order parameter up to fourth order and their ratios at the critical point. We show that the ratios we found are in agreement with those of the contact and pair contact processes in two dimensions, which give support to the idea that the ZGB model is in the directed percolation universality class in (2+1) dimensions.