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.

References in corpus (7)

• The non-equilibrium phase transition of the pair-contact process with diffusion
• Fixed-Energy Sandpiles Belong Generically to Directed Percolation
• The phase transition of the diffusive pair contact process revisited
• Local Persistence in the Directed Percolation Universality Class
• Universality class of the pair contact process with diffusion
• Nonequilibrium Phase Transitions into Absorbing States: Focused around the pair contact process with diffusion
• Critical exponents of the pair contact process with diffusion

Cited by in corpus (1)

• Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion