arXiv:nucl-th/0501080·v1·Nuclear Theory
Exactly Soluble Models for Surface Partition
K. A. Bugaev🇺🇦 · J. B. Elliott🇺🇸
Abstract
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.
Comments: 7 pages and 2 figures