Universality class of the pair contact process with diffusion
Abstract
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.
Cite
@article{arxiv.0710.3692,
title = {Universality class of the pair contact process with diffusion},
author = {F. Smallenburg and G. T. Barkema},
journal= {arXiv preprint arXiv:0710.3692},
year = {2009}
}
Comments
8 pages, 8 figures, accepted by Phys. Rev. E (not yet published)