Open AccessSimulation of the coordination number of random sphere packing
Author(s) -
Larisa V. Migal,
Vladimir G. Bondarev,
Н.А. Чеканов,
Tatiana P. Bondareva
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1479/1/012097
Subject(s) - coordination number , sphere packing , work (physics) , mathematics , statistical physics , number density , atomic packing factor , particle number , particle (ecology) , physics , geometry , thermodynamics , quantum mechanics , ion , nuclear magnetic resonance , oceanography , volume (thermodynamics) , geology
Given article presents a generalized equation for calculating the average coordination number from the density of a random sphere packing, supplemented by a dependence on the threshold value of the interparticle distance in two- and three-dimensional spaces. It is shown that the calculation of the average coordination numbers according to the proposed equation gives an unambiguous correspondence between the simulated, calculated and experimental data for threshold values of more than 1.02 particle diameters. An explanation of the weak dependence of the average coordinate number on the packing density for small threshold values of the interparticle distance is given in this work.