| Popis: |
We study the pair contact process with diffusion (PCPD) using Monte Carlo simulations, and concentrate on the decay of the particle density $\rho$ with time, near its critical point, which is assumed to follow $\rho(t) \approx ct^{-\delta} +c_2t^{-\delta_2}+...$. 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 $\rho$ and the pair density $\rho_p$ converges to a constant, indicating that both densities decay with the same powerlaw. We show that under the assumption $\delta_2 \approx 2 \delta$, two of the critical exponents of the PCPD model are $\delta = 0.165(10)$ and $\beta = 0.31(4)$, consistent with those of the directed percolation (DP) model. |
