Universality class of the pair contact process with diffusion

Details Universality class of the pair contact process with diffusion Universality class of the pair contact process with diffusion

2007-10-19

arxiv.org/abs/0710.3692v3

Physics

Condensed Matter

Statistical Mechanics

8 pages, 8 figures, accepted by Phys. Rev. E (not yet published)

Scientific paper

10.1103/PhysRevE.78.031129

The pair contact process with diffusion (PCPD) is studied with a standard Monte Carlo approach and with simulations at fixed densities. A standard analysis of the simulation results, based on the particle densities or on the pair densities, yields inconsistent estimates for the critical exponents. However, if a well-chosen linear combination of the particle and pair densities is used, leading corrections can be suppressed, and consistent estimates for the independent critical exponents delta=0.16(2), beta=0.28(2) and z=1.58 are obtained. Since these estimates are also consistent with their values in directed percolation (DP), we conclude that PCPD falls in the same universality class as DP.

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