AVERAGE NUMBER OF SIDES FOR THE NEIGHBORS IN A POISSON-VORONOI TESSELATION

Authors
KUMAR S KURTZ SK WEAIRE D
Citation
S. Kumar et al., AVERAGE NUMBER OF SIDES FOR THE NEIGHBORS IN A POISSON-VORONOI TESSELATION, Philosophical magazine. B. Physics of condensed matter. Structural, electronic, optical and magnetic properties, 69(3), 1994, pp. 431-435
Citations number
16
Categorie Soggetti
Physics, Applied
Journal title
Philosophical magazine. B. Physics of condensed matter. Structural, electronic, optical and magnetic properties → ACNP
ISSN journal
09586644
Volume
69
Issue
3
Year of publication
1994
Pages
431 - 435
Database
ISI
SICI code
0958-6644(1994)69:3<431:ANOSFT>2.0.ZU;2-Y
Abstract
It is well known that the two-dimensional Poisson-Voronoi tesselation does not conform to the Aboav-Weaire law for the average number of sid es for the neighbours of an n-sided cell. We offer a variant of Weaire 's original derivation which takes into account certain features of th is type of pattern, and results in a different form of the law, which is similar to that found from computer simulation.