Decorated vertices with 3-edged cells in 2D foams: exact solutions and properties
Soft Condensed Matter
2015-06-25 v3
Abstract
The energy, area and excess energy of a decorated vertex in a 2D foam are calculated. The general shape of the vertex and its decoration are described analytically by a reference pattern mapped by a parametric Moebius transformation. A single parameter of control allows to describe, in a common framework, different types of decorations, by liquid triangles or 3-sided bubbles, and other non-conventional cells. A solution is proposed to explain the stability threshold in the flower problem.
Keywords
Cite
@article{arxiv.cond-mat/0610541,
title = {Decorated vertices with 3-edged cells in 2D foams: exact solutions and properties},
author = {Marco Mancini and Christophe Oguey},
journal= {arXiv preprint arXiv:cond-mat/0610541},
year = {2015}
}
Comments
13 pages, 17 figures