Two-species branching annihilating random walks with one offspring

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We study the effects of hard core (HC) interactions between different species of particles on two-species branching annihilating random walks with one offspring(BAW₂(1)). The single-species model belongs to the directed percolation (DP) universality class. In the BAW₂(1) model, a particle creates one particle of the same species in its neighborhood with the probability σ(1-p) and of the different species with (1-σ)(1-p), where p is the hopping probability. Without HC interactions, this model always exhibits the DP-type absorbing transition for all σ. Even with HC interactions, the nature of the phase transitions does not change except near σ=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 β= ν⊥ =1/2 and ν|| = 1.