Crossover from the pair contact process with diffusion to directed percolation

Details Crossover from the pair contact process with diffusion to directed percolation Crossover from the pair contact process with diffusion to directed percolation

2005-12-05

arxiv.org/abs/cond-mat/0512076v3

Phys. Rev. E 73, 025105(R) (2006)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.73.025105

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 $\phi$ are estimated numerically as $1/\phi \simeq 0.58\pm0.03$ for the PCPD and $1/\phi \simeq 0.49 \pm 0.02$ 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.

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