Moment ratios for the pair contact process with diffusion

Details Moment ratios for the pair contact process with diffusion Moment ratios for the pair contact process with diffusion

2006-05-26

arxiv.org/abs/cond-mat/0605655v1

Physics

Condensed Matter

Statistical Mechanics

17 pages, 5 figures

Scientific paper

10.1103/PhysRevE.74.011124

We study the continuous absorbing-state phase transition in the one-dimensional pair contact process with diffusion (PCPD). In previous studies [Dickman and de Menezes, Phys. Rev. E, 66 045101(R) (2002)], the critical point moment ratios of the order parameter showed anomalous behavior, growing with system size rather than taking universal values, as expected. Using the quasistationary simulation method we determine the moments of the order parameter up to fourth order at the critical point, in systems of up to 40960 sites. Due to strong finite-size effects, the ratios converge only for large system sizes. Moment ratios and associated order-parameter histograms are compared with those of directed percolation. We also report an improved estimate [p_c =0.077092(1)] for the nondiffusive pair contact process.

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