Analytical results for size-topology correlations in 2D disk and cellular packings

Matthew P. Miklius, Sascha Hilgenfeldt

Research output: Contribution to journalArticlepeer-review


Random tilings or packings in the plane are characterized by a size distribution of individual elements (domains) and by the statistics of neighbor relations between the domains. Most systems occurring in nature or technology have a unimodal distribution of both areas and number of neighbors. Empirically, strong correlations between these distributions have been observed and formulated as universal laws. Using only the local, correlation-free granocentric model approach with no free parameters, we construct accurate analytical descriptions for disk crystallization, size-topology correlations, and Lemaître's law.

Original languageEnglish (US)
Article number015502
JournalPhysical review letters
Issue number1
StatePublished - Jan 5 2012

ASJC Scopus subject areas

  • General Physics and Astronomy


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