Statistical Mechanics of Two-Dimensional Shuffled Foams: Prediction of the Correlation between Geometry and Topology

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dc.contributor.author Durand, Marc
dc.contributor.author Kafer, Jos
dc.contributor.author Quilliet, Catherine
dc.contributor.author Cox, Simon John
dc.contributor.author Ataei Talebi, Shirin
dc.contributor.author Graner, Francois
dc.date.accessioned 2012-02-13T15:12:57Z
dc.date.available 2012-02-13T15:12:57Z
dc.date.issued 2012-02-13
dc.identifier.citation Durand , M , Kafer , J , Quilliet , C , Cox , S J , Ataei Talebi , S & Graner , F 2012 , ' Statistical Mechanics of Two-Dimensional Shuffled Foams: Prediction of the Correlation between Geometry and Topology ' Physical Review Letters , vol 107 , no. 16 , pp. 168304-168309 . en
dc.identifier.issn 0031-9007
dc.identifier.other PURE: 175176
dc.identifier.other dspace: 2160/7781
dc.identifier.uri http://hdl.handle.net/2160/7781
dc.description Durand, M., Kafer, J., Quilliet, C., Cox, S., Talebi, S.A. and Graner, F. (2011). Statistical me-a chanics of two-dimensional shuffled foams: prediction of the correlation between geometry and topology. Phys. Rev. Letts. 107:168304 en
dc.description.abstract We propose an analytical model for the statistical mechanics of shuffled two-dimensional foams with moderate bubble size polydispersity. It predicts without any adjustable parameters the correlations between the number of sides n of the bubbles (topology) and their areas A (geometry) observed in experiments and numerical simulations of shuffled foams. Detailed statistics show that in shuffled cellular patterns n correlates better with sqrt(A) (as claimed by Desch and Feltham) than with A (as claimed by Lewis and widely assumed in the literature). At the level of the whole foam, standard deviations Delta n and Delta A are in proportion. Possible applications include correlations of the detailed distributions of n and A, three-dimensional foams, and biological tissues. en
dc.format.extent 5 en
dc.language.iso eng
dc.relation.ispartof Physical Review Letters en
dc.title Statistical Mechanics of Two-Dimensional Shuffled Foams: Prediction of the Correlation between Geometry and Topology en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevLett.107.168304
dc.contributor.institution Mathematical Modelling of Structures, Solids and Fluids en
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.description.status Peer reviewed en


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