Crossover from the pair contact process with diffusion to directed percolation

Abstract

Crossover behaviors from the pair contact process with diffusion (PCPD) and the driven PCPD (DPCPD) to the directed percolation (DP) are studied in one dimension by introducing a single particle annihilation/branching dynamics. The crossover exponents $\varphi$ are estimated numerically as $1/\varphi \simeq 0.58\pm 0.03$ for the PCPD and $1/\varphi \simeq 0.49\pm 0.02$ for the DPCPD. Nontriviality of the PCPD crossover exponent strongly supports non-DP nature of the PCPD critical scaling, which is further evidenced by the anomalous critical amplitude scaling near the PCPD point. In addition, we find that the DPCPD crossover is consistent with the mean field prediction of the tricritical DP class as expected.

References in corpus (5)

• The non-equilibrium phase transition of the pair-contact process with diffusion
• Pair Contact Process with Diffusion: Failure of Master Equation Field Theory
• Driven Pair Contact Process with Diffusion
• Cluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion
• Generating function, path integral representation, and equivalence for stochastic exclusive particle systems

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