Revisiting the nonequilibrium phase transition of the triplet-creation model

Abstract

The nonequilibrium phase transition in the triplet-creation model is investigated using critical spreading and the conservative diffusive contact process. The results support the claim that at high enough diffusion the phase transition becomes discontinuous. As the diffusion probability increases the critical exponents change continuously from the ordinary directed percolation (DP) class to the compact directed percolation (CDP). The fractal dimension of the critical cluster, however, switches abruptly between those two universality classes. Strong crossover effects in both methods make it difficult, if not impossible, to establish the exact location of the tricritical point.

arXiv comment7 pages, 12 figures

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• Mass media destabilizes the cultural homogeneous regime in Axelrod's model
• On the absorbing-state phase transition in the one-dimensional triplet creation model
• Absence of the discontinuous transition in the one-dimensional triplet creation model
• Robustness of first-order phase transitions in one-dimensional long-range contact processes
• Accuracy of the cluster-approximation method in a nonequilibrium model
• A comparative study for the pair-creation contact process using series expansions