2000/02/15 by Sungchul Kwon, Jysoo Lee, Hyunggyu Park · 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/physrevlett.85.1682
published as Physical Review Letters 85 (8), 1682-1685 (2000) · 4 pages, 1 figure
arxiv created 2000/02/15 · openalex publication_date 2000/08/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
It has been generally believed that hard core interaction is irrelevant to absorbing-type critical phenomena because the particle density is so low near an absorbing phase transition. We study the effect of hard core interaction on the N-species branching annihilating random walks with two offspring and report that hard core interaction drastically changes the absorbing-type critical phenomena in a nontrivial way. Through a Langevin equation-type approach, we predict analytically the values of the scaling exponents, \ensuremathν_\ensuremath⊥\phantom\rule0ex0ex=\phantom\rule0ex0ex2, z\phantom\rule0ex0ex=\phantom\rule0ex0ex2, \ensuremathα\phantom\rule0ex0ex=\phantom\rule0ex0ex1/2, and \ensuremathβ\phantom\rule0ex0ex=\phantom\rule0ex0ex2 in one dimension for all N>1. Direct numerical simulations confirm our prediction. When the diffusion coefficients for different species are not identical, \ensuremathν_\ensuremath⊥ and \ensuremathβ vary continuously with the ratios between the coefficients.