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Local models for Size-Topology Correlations

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Foams and Minimal Surfaces

Empirical studies have long shown complex statistics in polygonal tilings of the plane or the corresponding packings of objects. Of particular interest has been the relation between domain size (area) and topology (number of neighbors) of objects. Using a simple, strictly local model of neighbor relations, we provide an analytical explanation for correlations of size and topology. We explore polydisperse, bidisperse, and anisotropic domains found in a large variety of living and inanimate systems. The model offers an explanation for long-standing empirical findings such as Lewis’ law and the value of terminal polydispersity at 2D order/disorder transitions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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