Abstract
We study the pair contact process with diffusion (PCPD) using MonteCarlo simulations, and concentrate on the decay of the particle densityρ with time, near its critical point, which is assumed to follow . This model is known for its slow convergence to the asymptotic critical behavior; we thereforepay particular attention to finite-time corrections. We find that at the critical point, the ratio ofρ and the pairdensity ρp converges to a constant, indicating that both densities decaywith the same power law. We show that under the assumptionδ2≈2δ, two of the critical exponents of the PCPD model areδ = 0.165(10) andβ = 0.31(4), consistent with those of the directed percolation (DP) model.
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