Nonuniversality and critical point shift in systems with infinitely many absorbing configurations

1999/09/23 by Ronald Dickman, Dickman, Ronald
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9909347

22 pages + 16 figures

arxiv created 1999/09/23 · openalex publication_date 1999/09/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A detailed study of critical spreading in the one-dimensional pair contact process is performed using a recently devised reweighting method. The results confirm the validity of a generalized hyperscaling relation among the (nonuniversal) spreading exponents, and support the assertion that the critical point location does not depend on the particle density ϕ. It appears that the exponents z and delta+eta, once thought to be invariant, exhibit a systematic dependence on ϕ.

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