Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-10-25
Journal of the Korean Physical Society, 38, 490 (2001)
Physics
Condensed Matter
Statistical Mechanics
4 pages, APCTP international workshop on similarity in diversity (Seoul, Korea; Aug.24, 2000): To appear in Journal of the Kor
Scientific paper
We study the effects of hard core (HC) interactions between different species of particles on two-species branching annihilating random walks with one offspring(BAW$_2$(1)). The single-species model belongs to the directed percolation (DP) universality class. In the BAW$_2$(1) model, a particle creates one particle of the same species in its neighborhood with the probability $\sigma (1-p)$ and of the different species with $(1-\sigma)(1-p)$, where $p$ is the hopping probability. Without HC interactions, this model always exhibits the DP-type absorbing transition for all $\sigma$. Even with HC interactions, the nature of the phase transitions does not change except near $\sigma=0$, where the HC interaction destabilizes and completely wipes away the absorbing phase. The model is always active except at the annihilation fixed point of zero branching rate ($p=1$). Critical behavior near the annihilation fixed point is characterized by exponents $\beta = \nu_\perp =1/2$ and $\nu_{||} = 1$.
Kwon Sungchul
Park Hyunggyu
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