UNIVERSALITY CLASS OF 2-OFFSPRING BRANCHING ANNIHILATING RANDOM-WALKS

We analyze a two-offspring branching annihilating random walk (n = 2 B AW) model, with finite annihilation rate, The finite annihilation rate allows for a dynamical phase transition between a vacuum, absorbing s tate and a nonempty, active steady state. We find numerically that thi s transition belongs to the same universality class as BAWs with an ev en number of offsprings, n greater than or equal to 4, and that of oth er models whose dynamic rules conserve the parity of the particles loc ally. The simplicity of the model is exploited in computer simulations to obtain various critical exponents with a high level of accuracy.