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

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

1998-04-21

arxiv.org/abs/cond-mat/9804233v1

Physics

Condensed Matter

Statistical Mechanics

10 pages in REVTeX/LaTeX format, 17 eps/ps figures. Submitted to Journal of Physics A

Scientific paper

10.1088/0305-4470/32/1/009

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. In Part I, we introduced a general formalism for describing such systems and presented the mean field theory. In this article we derive results for the one dimensional case, which can be only partially solved. Monte Carlo simulations performed on a square lattice indicate that the main features of the mean field theory survive the presence of strong fluctuations.

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