Accuracy of the cluster-approximation method in a nonequilibrium model

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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8 pages, 3 figures and 1 table

Scientific paper

10.1088/1742-5468/2009/03/P03031

We examine a model in which a nonequilibrium phase transition from an active to an extinct state is observed. The order of this phase transition has been shown to be either continuous or first-order, depending on the parameter values and the dimension of the system. Using increasingly large clusters, we use the cluster approximation method to obtain estimates for the critical points in 1+1 dimensions. For the continuous phase transitions only, extrapolations of these approximations show excellent agreement with simulation results. Further, the approximations suggest that, consistent with simulation results, in 1+1 dimensions no first-order phase transitions are observed.

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