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

2017/07/13 by Su-Chan Park, Su‐Chan Park · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Annihilation #Computer science #Condensed matter physics #Critical exponent #Crossover #Directed percolation #Material Dynamics and Properties #Mathematical physics #Mathematics #Phase transition #Physics #Quantum mechanics #Renormalization #Renormalization group #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Theoretical physics #Universality (dynamical systems) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.96.032113

published in Physical review. E 96(3), 032113 (American Physical Society) · 7 pages, 5 figures

arxiv created 2017/07/13 · openalex publication_date 2017/09/11 · arxiv updated 2017/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The one-dimensional pair contact process with diffusion (PCPD), an interacting particle system with diffusion, pair annihilation, and creation by pairs, has defied consensus about the universality class to which it belongs. An argument by Hinrichsen [Physica A 361, 457 (2006)PHYADX0378-437110.1016/j.physa.2005.06.101] claims that freely diffusing particles in the PCPD should play the same role as frozen particles when it comes to the critical behavior. Therefore, the PCPD is claimed to have the same critical phenomena as a model with infinitely many absorbing states that belongs to the directed percolation (DP) universality class. To investigate if diffusing particles are really indistinguishable from frozen particles in the sense of the renormalization group, we study numerically a variation of the PCPD by introducing a nonorder field associated with infinitely many absorbing states. We find that a crossover from the PCPD to DP occurs due to the nonorder field. By studying a similar model, we exclude the possibility that the mere introduction of a nonorder field to one model can entail a nontrivial crossover to another model in the same universality class, thus we attribute the observed crossover to the difference of the universality class of the PCPD from the DP class.

Citations

• Crossover from the pair contact process with diffusion to directed percolation
• Absorbing Phase Transitions of Branching-Annihilating Random Walks
• Driven Pair Contact Process with Diffusion
• Critical behavior of the one-dimensional diffusive pair contact process
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