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SUMMARY:Local models for Size-Topology Correlations - Hilgenfeldt\, S (Uni
 versity of Illinois at Urbana-Champaign)
DTSTART:20140226T161500Z
DTEND:20140226T163500Z
UID:TALK51106@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Empirical studies have long shown complex statistics in polygo
 nal tilings of the plane or the corresponding packings of objects. Of part
 icular interest has been the relation between domain size (area) and topol
 ogy (number of neighbors) of objects. Using a simple\, strictly local mode
 l of neighbor relations\, we provide an analytical explanation for correla
 tions of size and topology. We explore polydisperse\, bidisperse\, and ani
 sotropic 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/disord
 er transitions. \n
LOCATION:Seminar Room 1\, Newton Institute
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