Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.21/708
Título: Percolation of colloids with distinct interaction sites
Autor: Tavares, J. M.
Teixeira, Paulo Ivo Cortez
Telo da Gama, M. M.
Palavras-chave: Directional Attractive Forces
Molecular- Size Distribution
Fluids
Polymers
Data: Jan-2010
Editora: Amer Physical SOC
Citação: Tavares J M, Teixeira P I C, Gama M M T. Percolation of colloids with distinct interaction sites. Physical Review E. 2010; 81 (1): Art. No. 010501 Part 1.
Relatório da Série N.º: 1;010501
Resumo: We generalize the Flory-Stockmayer theory of percolation to a model of associating (patchy) colloids, which consists of hard spherical particles, having on their surfaces f short-ranged-attractive sites of m different types. These sites can form bonds between particles and thus promote self-assembly. It is shown that the percolation threshold is given in terms of the eigenvalues of a m x m matrix, which describes the recursive relations for the number of bonded particles on the ith level of a cluster with no loops; percolation occurs when the largest of these eigenvalues equals unity. Expressions for the probability that a particle is not bonded to the giant cluster, for the average cluster size and the average size of a cluster to which a randomly chosen particle belongs, are also derived. Explicit results for these quantities are computed for the case f = 3 and m = 2. We show how these structural properties are related to the thermodynamics of the associating system by regarding bond formation as a (equilibrium) chemical reaction. This solution of the percolation problem, combined with Wertheim's thermodynamic first-order perturbation theory, allows the investigation of the interplay between phase behavior and cluster formation for general models of patchy colloids.
Peer review: yes
URI: http://hdl.handle.net/10400.21/708
ISSN: 1539-3755
Aparece nas colecções:ISEL - Física - Artigos



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