Calculation of mean distances between the randomly distributed particles in the model of points and hard spheres (the method of Voronoi polyhedra)

Authors
Lavrik, NL Voloshin, VP
Citation
Nl. Lavrik et Vp. Voloshin, Calculation of mean distances between the randomly distributed particles in the model of points and hard spheres (the method of Voronoi polyhedra), J CHEM PHYS, 114(21), 2001, pp. 9489-9491
Citations number
10
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
JOURNAL OF CHEMICAL PHYSICS
ISSN journal
00219606 → ACNP
Volume
114
Issue
21
Year of publication
2001
Pages
9489 - 9491
Database
ISI
SICI code
0021-9606(20010601)114:21<9489:COMDBT>2.0.ZU;2-C
Abstract
The method of Voronoi polyhedra is used to introduce the concept of nth nei ghbor. For hard spheres a theoretical dependence of the mean distance betwe en the nth neighbors on the coefficient of filling was obtained. A simple f ormula was obtained to estimate the mean distance between the nth neighbors . (C) 2001 American Institute of Physics.