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تسجيل مستخدم جديدCritical exponents of the pair contact process with diffusion
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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.
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