Does Hard Core Interaction Change Absorbing-Type Critical Phenomena?

Sungchul Kwon, Jysoo Lee, and Hyunggyu Park
Phys. Rev. Lett. 85, 1682 – Published 21 August 2000
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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, ν=2, z=2, α=1/2, and β=2 in one dimension for all N>1. Direct numerical simulations confirm our prediction. When the diffusion coefficients for different species are not identical, ν and β vary continuously with the ratios between the coefficients.

  • Received 19 January 2000

DOI:https://doi.org/10.1103/PhysRevLett.85.1682

©2000 American Physical Society

Authors & Affiliations

Sungchul Kwon1, Jysoo Lee2, and Hyunggyu Park1

  • 1Department of Physics, Inha University, Inchon 402-751, Korea
  • 2National Creative Research Initiative Center for Neurodynamics and Department of Physics, Korea University, Seoul 136-701, Korea

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Vol. 85, Iss. 8 — 21 August 2000

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