On the size-distribution of Poisson Voronoi cells
| dc.creator | Jarai-Szabo, F. | |
| dc.creator | Neda, Z. | |
| dc.date | 2004-06-04 | |
| dc.date | 2008-02-20 | |
| dc.date.accessioned | 2026-07-07T09:21:46Z | |
| dc.date.available | 2026-07-07T09:21:46Z | |
| dc.description | Poisson Voronoi diagrams are useful for modeling and describing various natural patterns and for generating random lattices. Although this particular space tessellation is intensively studied by mathematicians, in two- and three dimensional spaces there is no exact result known for the size-distribution of Voronoi cells. Motivated by the simple form of the distribution function in the one-dimensional case, a simple and compact analytical formula is proposed for approximating the Voronoi cell's size distribution function in the practically important two- and three dimensional cases as well. Denoting the dimensionality of the space by d (d=1,2,3) the $f(y)=Const*y^{(3d-1)/2}exp(-(3d+1)y/2)$ compact form is suggested for the normalized cell-size distribution function. By using large-scale computer simulations the validity of the proposed distribution function is studied and critically discussed. | |
| dc.description | 12 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0406116 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0406116 | |
| dc.identifier | F. Jarai-Szabo and Z. Neda, Physica A 385, 518-526, 2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155144 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Statistical Mechanics | |
| dc.title | On the size-distribution of Poisson Voronoi cells | |
| dc.type | text |