Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2012-02-27
Physics
Condensed Matter
Statistical Mechanics
Supplemental Material is included
Scientific paper
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.
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