On the Aboav-Weaire law

Gy Vincze, I. Zsoldos, A. Szász

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The most general form of the Aboav-Weaire empirical topological law of random cellular networks is derived from conditions on local averages in two dimensions. We assume the average number of edges in a local cluster depends on the number of actual edges and its moments together with the probability distribution function. Based on this constitutive assumption we show that the Aboav-Weaire law depends only on the first and second moments of the distribution function. We show that the Aboav-Weaire law is a direct consequence of the existence of the well-known microscopic topological transformations. We study the effect of the constitutive equation's coefficients on the Aboav-Weaire law. The properties near to the equilibrium are also investigated to explain the role of the actual parameters of the network.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalJournal of Geometry and Physics
Volume51
Issue number1
DOIs
Publication statusPublished - May 2004

Fingerprint

Moment
Probability Distribution Function
Random Networks
Constitutive Equation
Cellular Networks
Two Dimensions
Distribution Function
moments
probability distribution functions
constitutive equations
Coefficient
distribution functions
coefficients
Form

Keywords

  • Cellular networks

ASJC Scopus subject areas

  • Geometry and Topology
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

On the Aboav-Weaire law. / Vincze, Gy; Zsoldos, I.; Szász, A.

In: Journal of Geometry and Physics, Vol. 51, No. 1, 05.2004, p. 1-12.

Research output: Contribution to journalArticle

Vincze, Gy ; Zsoldos, I. ; Szász, A. / On the Aboav-Weaire law. In: Journal of Geometry and Physics. 2004 ; Vol. 51, No. 1. pp. 1-12.
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