%0 Journal Article
%T On the Ising model with random boundary condition
%A A. C. D. van Enter
%A K. Netocny
%A H. G. Schaap
%J Statistics
%D 2004
%I arXiv
%R 10.1007/s10955-004-2138-2
%X The infinite-volume limit behavior of the 2d Ising model under possibly strong random boundary conditions is studied. The model exhibits chaotic size-dependence at low temperatures and we prove that the `+' and `-' phases are the only almost sure limit Gibbs measures, assuming that the limit is taken along a sparse enough sequence of squares. In particular, we provide an argument to show that in a sufficiently large volume a typical spin configuration under a typical boundary condition contains no interfaces. In order to exclude mixtures as possible limit points, a detailed multi-scale contour analysis is performed.
%U http://arxiv.org/abs/math-ph/0408024v2