Srolovitz, David J

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End date: 2012 × Start date: 2010 ×

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  • Publication
    Statistical Topology of Cellular Networks in Two and Three Dimensions
    (2012-11-26) Mason, J. K; Lazar, E. A; MacPherson, R. D.; Srolovitz, David J
    Cellular networks may be found in a variety of natural contexts, from soap foams to biological tissues to grain boundaries in a polycrystal, and the characterization of these structures is therefore a subject of interest to a range of disciplines. An approach to describe the topology of a cellular network in two and three dimensions is presented. This allows for the quantification of a variety of features of the cellular network, including a quantification of topological disorder and a robust measure of the statistical similarity or difference of a set of structures. The results of this analysis are presented for numerous simulated systems including the Poisson-Voronoi and the steady-state grain growth structures in two and three dimensions.