TY - JOUR
T1 - Analytical results for size-topology correlations in 2D disk and cellular packings
AU - Miklius, Matthew P.
AU - Hilgenfeldt, Sascha
PY - 2012/1/5
Y1 - 2012/1/5
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.108.015502
DO - 10.1103/PhysRevLett.108.015502
M3 - Article
C2 - 22304266
AN - SCOPUS:84855483298
SN - 0031-9007
VL - 108
JO - Physical review letters
JF - Physical review letters
IS - 1
M1 - 015502
ER -