On the critical behavior of the one dimensional, diffusive pair contact process

Abstract

The phase transition of the one-dimensional, diffusive pair contact process (PCPD) is investigated by N cluster mean-field approximations and high precision simulations. The N=3,4 cluster approximations exhibit smooth transition line to absorbing state by varying the diffusion rate D with beta_2=2 mean-field order parameter exponent of the pair density. This contradicts with former N=2 results, where two different mean-field behavior was found along the transition line. Extensive dynamical simulations on L=10^5 lattices give estimates for the order parameter exponents of the particles for 0.05 <= D <= 0.7. These data can support former two distinct class findings. However the gap between low and high D exponents is narrower than estimated previously and the possibility for interpreting numerical data as a single class behavior with exponents alpha=0.21(1), beta=0.41(1) assuming logarithmic corrections is shown. Finite size scaling and cluster simulation results are also presented.

6 pages, 8 figures included, minor changes

References in corpus (2)

• Nonuniversality in the pair contact process with diffusion
• Phase transition of a two dimensional binary spreading model

Cited by in corpus (22)

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• Roughening transition driven by a binary spreading process
• The phase transition of triplet reaction-diffusion models
• Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion