The polydisperse cell model: nonlinear screening and charge renormalization in colloidal mixtures

The Journal of Chemical Physics
Aldemar TorresRené van Roij

Abstract

We propose a model for the calculation of renormalized charges and osmotic properties of mixtures of highly charged colloidal particles. The model is a generalization of the cell model and the notion of charge renormalization as introduced by Alexander et al. [J. Chem. Phys. 80, 5776 (1984)]. The total solution is partitioned into as many different cells as components in the mixture. The radii of these cells are determined self-consistently for a given set of parameters from the solution of the nonlinear Poisson-Boltzmann equation with appropriate boundary conditions. This generalizes Alexanders's model where the (unique) Wigner-Seitz cell radius is solely fixed by the colloid packing fraction. We illustrate the technique by considering a binary mixture of the colloids with the same sign of charge. The present model can be used to calculate thermodynamic properties of highly charged colloidal mixtures at the level of linear theories, while taking the effect of nonlinear screening into account.

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Citations

Apr 5, 2014·The Journal of Chemical Physics·M HeinenH Löwen
Sep 25, 2012·The Journal of Chemical Physics·Fabian WestermeierMarco Heinen
Sep 21, 2010·The Journal of Chemical Physics·Nina J Lorenz, Thomas Palberg
Oct 3, 2014·The Journal of Chemical Physics·Jacek GapinskiAdam Patkowski
Jan 31, 2017·Physical Chemistry Chemical Physics : PCCP·Guillaume Bareigts, Christophe Labbez
Apr 5, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Lucas GoehringPree-Cha Kiatkirakajorn
Jan 20, 2018·Physical Review. E·Alan R Denton
Oct 15, 2013·Journal of Computational Chemistry·Marco HeinenHartmut Löwen
Oct 21, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·E Allahyarov, H Löwen
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·José Marcos Falcón-González, Ramón Castañeda-Priego
Sep 17, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jun Kyung Chung, Alan R Denton
Jul 22, 2016·Soft Matter·J C EvertsR van Roij
Nov 15, 2016·Physical Review. E·María Isabel García de SoriaEmmanuel Trizac
Apr 9, 2018·The Journal of Chemical Physics·Adolfo J BanchioGerhard Nägele
Jan 3, 2019·The Journal of Chemical Physics·Guillaume Bareigts, Christophe Labbez
Mar 24, 2018·The Journal of Chemical Physics·Braden M Weight, Alan R Denton
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eelco Eggen, René van Roij
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Patrick WetteThomas Palberg
May 29, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·L A Aguirre-Manzo, P González-Mozuelos

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