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

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

2002-09-12

arxiv.org/abs/cond-mat/0209287v2

Phys.Rev. E 67 (2003) 016111.

Physics

Condensed Matter

Statistical Mechanics

6 pages, 8 figures included, minor changes

Scientific paper

10.1103/PhysRevE.67.016111

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.

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