One-dimensional Nonequilibrium Kinetic Ising Models with local   spin-symmetry breaking: N-component branching annihilation transition at zero   branching rate
  The effects of locally broken spin symmetry are investigated in one dimensional nonequilibrium kinetic Ising systems via computer simulations and cluster mean field calculations. Besides a line of directed percolation transitions, a line of transitions belonging to N-component, two-offspring branching annihilating random-walk class (N-BARW2) is revealed in the phase diagram at zero branching rate. In this way a spin model for N-BARW2 transitions is proposed for the first time. 
N. Menyhard and G. Odor