Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/66504
Title: Connectedness-in-probability and continuum percolation of adhesive hard spheres: Integral equation theory
Authors: Chiew, Y.C. 
Issue Date: 1-Jun-1999
Source: Chiew, Y.C. (1999-06-01). Connectedness-in-probability and continuum percolation of adhesive hard spheres: Integral equation theory. Journal of Chemical Physics 110 (21) : 10482-10486. ScholarBank@NUS Repository.
Abstract: Integral equation theory was employed to study continuum percolation and clustering of adhesive hard spheres based on a "connectedness-in-probability" criterion. This differs from earlier studies in that an "all-or-nothing" direct connectivity criterion was used. The connectivity probability may be regarded as a "hopping probability" that describes excitation that passes from one particle to another in complex fluids and dispersions. The connectivity Ornstein-Zernike integral equation was solved for analytically in the Percus-Yevick approximation. Percolation transitions and mean size of particle clusters were obtained as a function of connectivity probability, stickiness parameter, and particle density. It was shown that the pair-connectedness function follows a delay-differential equation which yields analytical expressions in the Percus-Yevick theory. © 1999 American Institute of Physics.
Source Title: Journal of Chemical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/66504
ISSN: 00219606
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

31
checked on Dec 15, 2017

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.