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In an attempt to quantify the role of polydispersity in colloidal suspensions, we present an efficient implementation of the renormalized jellium model for a mixture of spherical charged colloids. The different species may have different…

Soft Condensed Matter · Physics 2016-11-23 María Isabel García de Soria , Carlos E. Álvarez , Emmanuel Trizac

We introduce a renormalized Jellium model to calculate the equation of state for charged colloidal suspensions. An almost perfect agreement with Monte Carlo simulations is found. Our self-consistent approach naturally allows to define the…

Soft Condensed Matter · Physics 2009-11-10 Emmanuel Trizac , Yan Levin

An extension of the renormalized Jellium model which allows to study colloidal suspensions containing trivalent counterions is proposed. The theory is based on a modified Poisson-Boltzmann equation which incorporates the effects of…

Soft Condensed Matter · Physics 2012-03-26 Thiago E. Colla , Yan Levin

An approach is proposed which allows to self-consistently calculate the structural and thermodynamic properties of highly charged aqueous colloidal suspensions. The method is based on the renormalized Jellium model with the background…

Soft Condensed Matter · Physics 2009-10-27 Thiago E. Colla , Yan Levin , E. Trizac

We revisit the popular notion of effective or renormalized charge, which is a concept of central importance in the field of highly charged colloidal or polyelectrolyte solutions. Working at the level of a linear Debye-H\"uckel like theory…

Soft Condensed Matter · Physics 2009-11-07 Emmanuel Trizac , Lyderic Bocquet , Miguel Aubouy

The renormalized charge of a simple two-dimensional model of colloidal suspension was determined by solving the hypernetted chain approximation and Ornstein-Zernike equations. At the infinite dilution limit, the asymptotic behavior of the…

Soft Condensed Matter · Physics 2009-03-19 Manuel Camargo , Gabriel Tellez

Thermodynamic properties of charge-stabilised colloidal suspensions depend sensitively on the effective charge of the macroions, which can be substantially lower than the bare charge in the case of strong counterion-macroion association. A…

Soft Condensed Matter · Physics 2011-06-28 Alan R. Denton

In charge-stabilized colloidal suspensions, highly charged macroions, dressed by strongly correlated counterions, carry an effective charge that can be substantially reduced (renormalized) from the bare charge. Interactions between dressed…

Soft Condensed Matter · Physics 2011-06-28 Ben Lu , Alan R. Denton

We apply general variational techniques to the problem of the counterion distribution around highly charged objects where strong condensation of counterions takes place. Within a field-theoretic formulation using a fluctuating electrostatic…

Soft Condensed Matter · Physics 2009-11-07 Roland R. Netz , Henri Orland

Charge-stabilized colloidal suspensions display a rich variety of microstructural and thermodynamic properties, which are determined by electro-steric interactions between all ionic species. The large size asymmetry between molecular-scale…

Soft Condensed Matter · Physics 2023-12-18 Mariano E. Brito , Gerhard Nägele , Alan R. Denton

We develop a double mean-field theory for charged macrogels immersed in electrolyte solutions in the spirit of the cell model approach. We first demonstrate that the equilibrium sampling of a single explicit coarse-grained charged polymer…

Soft Condensed Matter · Physics 2020-04-22 Jonas Landsgesell , David Sean , Patrick Kreissl , Kai Szuttor , Christian Holm

We report the coupled effects of macroion charge discretization and counterion valence in the primitive model for spherical colloids. Instead of considering a uniformly charged surface, as it is traditionally done, we consider a more…

Soft Condensed Matter · Physics 2009-11-07 Rene Messina

The interactions between charged colloidal particles in an electrolyte may be described by usual Debye-H\"uckel theory provided the source of the electric field is suitably renormalized. For spherical colloids, we reconsider and simplify…

Soft Condensed Matter · Physics 2007-05-23 E. Trizac , L. Bocquet , M. Aubouy , H. H. von Grunberg

A good understanding and determination of colloidal interactions is paramount to comprehend and model the thermodynamic and structural properties of colloidal suspensions. In concentrated aqueous suspensions of colloids with a titratable…

Soft Condensed Matter · Physics 2019-01-30 Guillaume Bareigts , Christophe Labbez

We introduce the Poisson-Boltzmann cell model for spherical colloidal particles with a heterogeneous surface charge distribution. This model is obtained by generalizing existing cell models for mixtures of homogeneously charged colloidal…

Soft Condensed Matter · Physics 2015-05-13 Eelco Eggen , René van Roij

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…

Soft Condensed Matter · Physics 2009-03-19 Aldemar Torres , Gabriel Tellez , Rene van Roij

The interlayer spacings near the surface of a crystal are different from that of the bulk. As a result, the value of the ionic density in the normal direction and near to the surface shows some oscillations around the bulk value. To…

Materials Science · Physics 2015-05-18 M. Payami , T. Mahmoodi

We consider a one-dimensional model allowing analytical derivation of the effective interactions between two charged colloids. We evaluate exactly the partition function for an electroneutral salt-free suspension with dielectric jumps at…

Soft Condensed Matter · Physics 2021-04-23 Lucas Varela , Gabriel Tellez , Emmanuel Trizac

We compare Kohn-Sham results (density, cohesive energy, size and effect of charging) of the Spherical Averaged Pseudopotential Model with the Stabilized Jellium Model for clusters of sodium and aluminum with less than 20 atoms. We find that…

Condensed Matter · Physics 2009-10-30 Armando Vieira , M. Begona Torres , Carlos Fiolhais , L. Carlos Balbas

We develop a thermodynamic description of particles held at a fixed surface potential. This system is of particular interest in view of the continuing controversy over the possibility of a fluid-fluid phase separation in aqueous colloidal…

Soft Condensed Matter · Physics 2009-11-10 Yan Levin , Emmanuel Trizac , Lyderic Bocquet
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