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|Title:||Connectedness-in-probability and continuum percolation of adhesive hard spheres: Integral equation theory||Authors:||Chiew, Y.C.||Issue Date:||1-Jun-1999||Citation:||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|
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