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Area and perimeter distribution of a surface in two dimensions

1995/05/15 by Ellen Moore, E. D. Moore, Moore, E. D.
Engineering · Physics and Astronomy · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9505061

RevTeX v3.0. 6 pages plus 5 figures. These are uuencoded and compressed postscript, enclosed in a self-unpacking cshell script

arxiv created 1995/05/18 · arxiv updated 2009/11/30

Abstract

We consider the number of configurations of a surface in two dimensions that has a prescribed length and encloses a prescribed perimeter with respect to a baseline. An approximate analytical treatment in a semi--continuum compares favourably with results from an exact algorithm for the discrete lattice. This work is relevant for finding the entropy associated with macroscopic configurations of such systems as domain growth problems, evaporation--deposition problems, membrane physics, or polymer physics.

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