TY - JOUR

T1 - Critical exponents of the pair contact process with diffusion

AU - Schram, R.D.

AU - Barkema, G.T.

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

U2 - 10.1088/1742-5468/2012/03/P03009

DO - 10.1088/1742-5468/2012/03/P03009

M3 - Article

SN - 1742-5468

VL - 2012

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 3

M1 - P03009

ER -