%0 Journal Article
%T Exactly Soluble Models for Surface Partition
%A K. A. Bugaev
%A J. B. Elliott
%J Physics
%D 2005
%I arXiv
%X The surface partition of large clusters is studied analytically within a frame-work of the ``Hills and Dales Model''. Three formulations are solved exactly by using the Laplace-Fourier transformation method. In the limit of small amplitude deformations, the ``Hills and Dales Model'' gives upper and lower bounds for the surface entropy coefficient of large clusters. A comparison with the 2- and 3-dimensional Ising model surface entropy coefficients is made.
%U http://arxiv.org/abs/nucl-th/0501080v1