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

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

1998-04-21

arxiv.org/abs/cond-mat/9804230v1

Physics

Condensed Matter

Statistical Mechanics

12 pages REVTeX/LaTeX format, 12 eps/ps figures. Submitted to Journal of Physics A

Scientific paper

10.1088/0305-4470/32/1/008

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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