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 language | English (US) |
|---|---|
| Article number | 041105 |
| Pages (from-to) | 041105-1-041105-12 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 70 |
| Issue number | 4 1 |
| DOIs | |
| State | Published - Oct 2004 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability