One-dimensional non-equilibrium kinetic Ising models with branching annihilating random walk

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Abstract
Non-equilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and nearest-neighbour spin exchanges at T= infinity are investigated numerically from the point of view of a phase transition. The branching annihilating random walk of the ferromagnetic domain boundaries determines the steady state of the system for a range of parameters of the model. Critical exponents obtained by simulation are found to agree, within error, with those in Grassberger's cellular automata.
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