Crossover from the pair contact process with diffusion to directed percolation

2005/12/31 by Su-Chan Park, Su‐Chan Park, Hyunggyu Park · 5 citations
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.73.025105

published as Phys. Rev. E 73, 025105(R) (2006)

openalex publication_date 2006/02/16 · arxiv created 2006/02/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Crossover behaviors from the pair contact process with diffusion (PCPD) and the driven PCPD (DPCPD) to the directed percolation (DP) are studied in one dimension by introducing a single particle annihilation and/or branching dynamics. The crossover exponents phi are estimated numerically as 1/phi approximately 0.58 +/- 0.03 for the PCPD and 1/phi approximately 0.49+/-0.02 for the DPCPD. Nontriviality of the PCPD crossover exponent strongly supports the non-DP nature of the PCPD critical scaling, which is further evidenced by the anomalous critical amplitude scaling near the PCPD point. In addition, we find that the DPCPD crossover is consistent with the mean field prediction of the tricritical DP class as expected.

Citations

• Driven Pair Contact Process with Diffusion
• Non-equilibrium critical phenomena and phase transitions into absorbing states
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Cluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion

Cited by

• Three different routes from the directed Ising to the directed percolation class
• Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion
• Critical study of the absorbing phase transition in a four-state predator–prey model in one dimension
• Critical decay exponent of the pair contact process with diffusion
• Moment ratios for the pair-contact process with diffusion