Topological and geometrical disorders correlate robustly in two-dimensional foams

Catherine Quilliet, S. Ataei Talebi, D. Rabaud, J. Kafer, S. J. Cox, François Graner

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28 Citations (SciVal)
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Abstract

A two-dimensional (2D) foam can be characterised by its distributions of bubble area and number of sides. Both distributions have an average and a width (standard deviation). There are therefore at least two very different ways to characterise the disorder. The former is a geometrical measurement, while the latter is purely topological. We discuss the common points and differences between both quantities. We measure them in a foam which is sheared, so that bubbles move past each other and the foam is 'shuffled' (a notion we discuss). Both quantities are strongly correlated; in this case (only) it thus becomes sufficient to use either one or the other to characterise the foam disorder. We suggest applications in the analysis of other systems.

Original languageEnglish
Pages (from-to)651-660
Number of pages10
JournalPhilosophical Magazine Letters
Volume88
Issue number9-10
DOIs
Publication statusPublished - 03 Mar 2009

Keywords

  • Disorder
  • Foam
  • Geometry
  • Shear
  • Topology
  • Two dimensions

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