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 -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, , , , and in one dimension for all . Direct numerical simulations confirm our prediction. When the diffusion coefficients for different species are not identical, and 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