Critical exponents of the pair contact process with diffusion

R.D. Schram, G.T. Barkema

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We study the pair contact process with diffusion (PCPD) using Monte Carlo simulations, and concentrate on the decay of the particle density ρ with time, near its critical point, which is assumed to follow ρ(t) ct− +c2t− 2+. . ... This model is known for its slow convergence to the asymptotic critical behavior; we therefore pay particular attention to finite-time corrections. We find that at the critical point, the ratio of ρ and the pair density ρp converges to a constant, indicating that both densities decay with the same power law. We show that under the assumption δ2≈2δ, two of the critical exponents of the PCPD model are δ = 0.165(10) and β = 0.31(4), consistent with those of the directed percolation (DP) model.
Original languageEnglish
Article numberP03009
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2012
Issue number3
DOIs
Publication statusPublished - 2012

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