Critical decay exponent of the pair contact process with diffusion

Physics – Condensed Matter – Statistical Mechanics

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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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