The randomly driven Ising ferromagnet, Part I: General formalism and mean field theory

J. Hausmann; P. Rujan

doi:10.1088/0305-4470/32/1/008

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The randomly driven Ising ferromagnet, Part I: General formalism and mean field theory

J. Hausmann·P. Rujan

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Abstract

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. After introducing a general formalism for describing such systems, we consider here the mean-field theory. A novel type of first order phase transition related to spontaneous symmetry breaking and dynamic freezing is found. The non-equilibrium stationary state has a complex structure, which changes as a function of parameters from a singular-continuous distribution with Euclidean or fractal support to an absolutely continuous one.

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J. Hausmann, P. Rujan. 1998-04-21. The randomly driven Ising ferromagnet, Part I: General formalism and mean field theory. https://doi.org/10.1088/0305-4470%2F32%2F1%2F008

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