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

Abstract

The nonequilibrium dynamic phase transition, in the two dimensional kinetic Ising model in 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 magnetisation. In both the cases, the time averaged magnetisation 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.

4 pages Revtex and 5 Latex figures; To appear in Phys. Rev. E

References in corpus (7)

• Metastable lifetimes in a kinetic Ising model: Dependence on field and system size
• Nonequilibrium Phase Transition in the Kinetic Ising model: Critical Slowing Down and Specific-heat Singularity
• Nonequilibrium phase transition in the kinetic Ising model: Divergences of fluctuations and responses near the transition point
• Response of Kinetic Ising System to Oscillating External Fields: Amplitude and Frequency Dependence
• Kinetic Ising System in an Oscillating External Field: Stochastic Resonance and Residence-Time Distributions
• Stationary Properties of a Randomly Driven Ising Ferromagnet
• Nonequilibrium Phase Transition and 'Specific-heat' singularity in the kinetic Ising model: A Monte Carlo Study

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• The randomly driven Ising ferromagnet, Part II: One and two dimensions
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