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

Marco Mancini; Christophe Oguey

doi:10.1140/epje/e2007-00024-y

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arXiv · cond-mat/0610541

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

Marco Mancini·Christophe Oguey

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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.

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Marco Mancini, Christophe Oguey. 2007-03-06. Decorated vertices with 3-edged cells in 2D foams: exact solutions and properties. https://doi.org/10.1140/epje%2Fe2007-00024-y

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