Persistence as Order Parameter in Generalized Pair Contact Process with Diffusion

Abstract

The question of universality class of pair contact process with diffusion (PCPD) is revisited with an alternative approach. We study persistence in Generalized Pair-Contact Process with diffusion (GPCPD) introduced by Noh and Park, (Phys. Rev. E 69,016122(2004)). This model allows us to interpolate between directed percolation (DP) and PCPD universality classes. We find that transition to nonzero persistence is at same parameter value as transition to zero number density. We obtain finite size scaling and off-critical scaling collapse for persistence and find critical exponents by fitting phenomenological scaling laws to persistence. While the dynamic scaling exponent $z$ varies continuously in GPCPD, the correlation-time exponent ${\nu }_{\parallel }$ matches with directed percolation universality class.

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Cited by in corpus (6)

• Stretched exponential dynamics of coupled logistic maps on a small-world network
• Novel Transition to fully absorbing state without long-range spatial order in Directed Percolation class
• Scaling of local persistence in the disordered contact process
• Persistence discontinuity in disordered contact processes with long-range interactions
• Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion
• Emergence of continuously varying critical exponents in coupled map lattice as an effect of quenched disorder