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Nonequilibrium kinetic Ising models evolving under the competing effect ofspin flips at zero temperature and Kawasaki-type spin-exchange kinetics atinfinite temperature T are investigated here in one dimension from the point ofview of phase transition and critical behaviour. Branching annihilating randomwalks with an even number of offspring (on the part of the ferromagnetic domainboundaries), is a decisive process in forming the steady state of the systemfor a range of parameters, in the family of models considered. A wide varietyof quantities characterize the critical behaviour of the system. Results ofcomputer simulations and of a generalized mean field theory are presented anddiscussed.Comment: 23 pages, 10 figures include

Nonequilibrium kinetic Ising models: phase transitions and universality classes in one dimension