The polydisperse cell model: Non-linear screening and charge renormalization in colloidal mixtures
arXiv:0802.1541 · doi:10.1063/1.2907719
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 and his collaborators (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 non-linear Poisson-Boltzmann equation with appropriate boundary conditions. This generalizes Alexanders's model where the (unique) Wigner-Seitz cell radius is fixed solely by the colloids packing fraction. We illustrate the technique by considering a binary mixture of 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 non-linear screening into account.
References in corpus (14)
- Electrophoresis of colloidal dispersions in the low-salt regime
- A simple approach for charge renormalization of highly charged macro-ions
- Effective charge versus bare charge for colloids in the infinite dilution limit
- Liquid-state theory of charged colloids
- The osmotic pressure of charged colloidal suspensions: A unified approach to linearized Poisson-Boltzmann theory
- Experimental observation of structural crossover in binary mixtures of colloidal hard spheres
- Extended sedimentation profiles in charged colloids: the gravitational length, entropy, and electrostatics
- Debye-Hueckel-Bjerrum theory for charged colloids
- Colloidal brazil nut effect in sediments of binary charged suspensions
- The sediment of mixtures of charged colloids: segregation and inhomogeneous electric fields
- A Case Study of Sedimentation of Charged Colloids: The Primitive Model and the Effective One-Component Approach
- Sedimentation of binary mixtures of like- and oppositely charged colloids: the primitive model or effective pair potentials?
- Effective interactions in the colloidal suspensions from HNC theory
- Renormalized charge in a two-dimensional model of colloidal suspension from hypernetted chain approach
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- Diffusion and conduction in a salt-free colloidal suspension via molecular dynamics simulations
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