PHASE-TRANSITIONS AND CRITICAL-BEHAVIOR IN ONE-DIMENSIONAL NONEQUILIBRIUM KINETIC ISING-MODELS WITH BRANCHING ANNIHILATING RANDOM-WALK OF KINKS

One-dimensional non-equilibrium kinetic Ising models evolving under th e competing effect of spin dips at zero temperature and nearest-neighb our spin exchanges exhibiting a parity-conserving (PC) phase transitio n on the level of kinks are now further investigated numerically, from the point of view of the underlying spin system. Critical exponents c haracterizing its statics and dynamics are reported. It is found that the influence of the PC transition on the critical exponents of the sp ins is strong and the origin of drastic changes as compared to the Gla uber-Ising case can be traced back to the hyperscaling law stemming fr om directed percolation. The effect of an external magnetic field, lea ding to directed percolation-type behaviour on the level of kinks is a lso studied, mainly via the generalized mean-field approximation.