Star-triangle equivalence in soap froths
Soft Condensed Matter
2009-11-10 v1 Disordered Systems and Neural Networks
Abstract
In two dimensional foams at equilibrium, triangular bubbles can be freely exchanged with 3-fold stars --three edges ending at a central vertex. This theorem is deduced here from Moukarzel's duality. Moreover, to probe the method, a few related properties are established: under slow gas diffusion, T2 processes are continuous for triangles but not for other types of bubbles. In general, the gas flow results in different configurations in the presence of a triangle than in the presence of a star.
Cite
@article{arxiv.cond-mat/0303509,
title = {Star-triangle equivalence in soap froths},
author = {M. Mancini and Ch. Oguey},
journal= {arXiv preprint arXiv:cond-mat/0303509},
year = {2009}
}
Comments
7 pages, 4 figures (6 eps files)