Voronoi and void statistics for superhomogeneous point processes

Andrea Gabrielli, Salvatore Torquato

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

The Voroni and void statistics of superhomogeneous point patterns in which the infinite-wavelength density fluctuations vanish were studied. A certain one-dimensional model was analyzed by studying size fluctuations and correlations of the associated Voronoi cells. The exact results were derived for the complete joint statistics of the size of two Voronoi cells. It was found that the infinitely large Voronoi cells or voids can exist in superhomogeneous point processes in any dimension.

Original languageEnglish (US)
Article number041105
Pages (from-to)041105-1-041105-12
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume70
Issue number4 1
DOIs
StatePublished - Oct 2004

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Voronoi and void statistics for superhomogeneous point processes'. Together they form a unique fingerprint.

Cite this