Does hard core interaction change absorbing-type critical phenomena?

Title
Does hard core interaction change absorbing-type critical phenomena?
Authors
Park, H.; Kwon, S.
Keywords
ANNIHILATING RANDOM-WALKS, CRITICAL-BEHAVIOR
Issue Date
2000-08
Publisher
AMERICAN PHYSICAL SOC
Abstract
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, nu(perpendicular to) = 2, z = 2, alpha = 1/2, and beta = 2 in one dimension for all N > 1, Direct numerical simulations confirm our prediction. When the diffusion coefficients for different species are not identical, nu(perpendicular to) and beta vary continuously with the ratios between the coefficients.
URI
http://dspace.inha.ac.kr/handle/10505/20246
ISSN
0031-9007
Appears in Collections:
College of Natural Science(자연과학대학) > Physics (물리학) > Journal Papers, Peports(물리학 학술논문, 보고서)
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