Critical and scaling properties of cluster distributions in nonequilibrium Ising-like systems

We report on analytical and Monte Carlo studies of d-dimensional nonequilibrium stochastic lattice systems whose dynamical rule incorporates various symmetries. We find that critical behavior is of the Ising variety, and that the cluster distribution has scaling properties proposed earlier for the equilibrium system, and give estimates for the exponents that characterize clusters for d = 2. The scaling region is notably larger than the corresponding one for the equilibrium case; ramified percolating clusters do not occur below the critical point.