1202.6024 (Su-Chan Park)

Critical decay exponent of the pair contact process with diffusion    [PDF]

Su-Chan Park

We study the pair contact process with diffusion (PCPD) by extensive Monte Carlo simulations, focusing on the density decay exponent $\delta$ at criticality. Studying how the ratio of the density and the pair density behaves at criticality, we estimate the exponent $\chi$ of the leading correction to scaling as $\chi = 0.37 \pm 0.01$. With $\chi$ so obtained, we study the effective exponent of the critical density decay, to conclude that $\delta = 0.185 \pm 0.010$ which is different from the critical exponent of the directed percolation (DP), 0.1595.

View original: http://arxiv.org/abs/1202.6024