PERSISTENCE MEASURES FOR 2D SOAP FROTH

Y. Feng, H. J. Ruskin () and B. Zhu
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Y. Feng: School of Computer Applications, Dublin City University, Dublin 9, Ireland
H. J. Ruskin: School of Computer Applications, Dublin City University, Dublin 9, Ireland
B. Zhu: School of Computer Applications, Dublin City University, Dublin 9, Ireland

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 09, 1163-1170

Abstract: Soap froths as typical disordered cellular structures, exhibiting spatial and temporal evolution, have been studied through their distributions and topological properties. Recently, persistence measures, which permit representation of the froth as a two-phase system, have been introduced to study froth dynamics at different length scales. Several aspects of the dynamics may be considered and cluster persistence has been observed through froth experiment. Using a direct simulation method, we have investigated persistent properties in 2D froth both by monitoring the persistence of survivor cells, a topologically independent measure, and in terms of cluster persistence. It appears that the area fraction behavior for both survivor and cluster persistence is similar for Voronoi froth anduniformfroth (with defects). Survivor and cluster persistent fractions are also similar for a uniform froth, particularly when geometries are constrained, but differences observed for theVoronoicase appear to be attributable to the strong topological dependency inherent in cluster persistence. Survivor persistence, on the other hand, depends on the number rather than size and position of remaining bubbles and does not exhibit the characteristic decay to zero.

Keywords: Persistence; 2D froth; non-equilibrium; survivors; cluster persistence; virtual phase (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103005285

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