Nonequilibrium phase transition in the kinetic Ising model: Dynamical symmetry breaking by randomly varying magnetic field

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Abstract
The nonequilibrium dynamic phase transition, in the two-dimensional kinetic Ising model in the presence of a randomly varying (in time but uniform in space) magnetic field, has been studied both by Monte Carlo simulation and by solving the mean-field dynamic equation of motion for the average magnetization. In both the cases, the time-averaged magnetization vanishes from a nonzero value depending upon the values of the width of randomly varying field and the temperature. The phase boundary lines are drawn in the plane formed by the width of the random field and the temperature.