Universality class of two-offspring branching annihilating random walks

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