Pair contact process with a particle source

2001/08/27 by Ronald Dickman, Wilson R. M. Rabelo, Wilson R. M. Rabêlo +2 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.65.016118

published as Phys. Rev. E 65, 016118 (2002) · 15 pages, 9 figures

arxiv created 2001/08/27 · openalex publication_date 2001/12/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the phase diagram and critical behavior of the one-dimensional pair contact process (PCP) with a particle source using cluster approximations and extensive simulations. The source creates isolated particles only, not pairs, and so couples not to the order parameter (the pair density) but to a nonordering field, whose state influences the evolution of the order parameter. While the critical point p(c) shows a singular dependence on the source intensity, the critical exponents appear to be unaffected by the presence of the source, except possibly for a small change in beta. In the course of our paper, we obtain high-precision values for the critical exponents of the standard PCP, confirming directed-percolationlike scaling.

Citations

• Driving, Conservation, and Absorbing States in Sandpiles
• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Critical Exponents for Branching Annihilating Random Walks with an Even Number of Offspring

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