2003/08/31 by N. Menyhárd, Nora Menyhard, Géza Ódor +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.68.056106
published as Phys. Rev. E 68 (2003) 056106. · 7 pages, 6 figures, final form to appear in PRE Nov.2003
arxiv created 2003/10/08 · openalex publication_date 2003/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Numerical and theoretical studies of a one-dimensional spin model with locally broken spin symmetry are presented. The multispecies annihilating random walk transition found at zero branching rate previously is investigated now concerning the cluster behavior of the underlying spins. Generic power-law behaviors are found, besides the phase transition point, also in the active phase with fulfillment of the hyperscaling law. On the other hand scaling laws connecting bulk and cluster exponents are broken--a possibility in no contradiction with basic scaling assumptions because of the missing absorbing phase.