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Local models for Size-Topology Correlations

Hilgenfeldt, S (University of Illinois at Urbana-Champaign)
Wednesday 26 February 2014, 16:15-16:35

Seminar Room 1, Newton Institute


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.


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