Decorated vertices with 3-edged cells in 2D foams: exact solutions and properties

Details Decorated vertices with 3-edged cells in 2D foams: exact solutions and properties Decorated vertices with 3-edged cells in 2D foams: exact solutions and properties

2006-10-19

arxiv.org/abs/cond-mat/0610541v3

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 17 figures

Scientific paper

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.

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