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Statistical properties and shell analysis in random cellular structures

Authors Aste, Tomaso HKUST affiliated (currently or previously).
Szeto Kwok Yip View this author's profile
Tam, Wing Yim View this author's profile
Issue Date 1996
Source Physical Review E , v. 54, (5), November 1996, p. 5482-5492
Summary We investigate the statistical properties of two-dimensional random cellular systems (froths) in terms of their shell structure. The froth is analyzed as a system of concentric layers of cells around a given central cell. We derive exact analytical relations for the topological properties of the sets of cells belonging to these layers. Experimental observations of the shell structure of two-dimensional soap froth are made and compared with the results on two kinds of Voronoi constructions. It is found that there are specific differences between soap froths and purely geometrical constructions. In particular these systems differ in the topological charge of clusters as a function of shell number, in the asymptotic values of defect concentrations, and in the number of cells in a given layer. We derive approximate expressions with no free parameters which correctly explain these different behaviors.
ISSN 1539-3755
Rights © 1996 The American Physical Society.
Language English
Format Article
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