English
Related papers

Related papers: Continuum theory of electrostatic correlations at …

200 papers

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

A model for ionic solutions with an attractive short-range pair interaction between the ions is presented. The short-range interaction is accounted for by adding a quadratic non-local term to the Poisson-Boltzmann free energy. The model is…

Soft Condensed Matter · Physics 2009-10-31 Yoram Burak , David Andelman

We investigate active electrolytes within the mean-field level of description. The focus is on how the double-layer structure of passive, thermalized charges is affected by active dynamics of all constituting ions. One feature of active…

Soft Condensed Matter · Physics 2018-05-23 Derek Frydel , Rudolf Podgornik

We present a continuum theory of electrolytes composed of a waterlike solvent and univalent ions. First, we start with a density functional $\cal F$ for the coarse-grained solvent, cation, and anion densities, including the Debye-H\"uckel…

Soft Condensed Matter · Physics 2020-08-20 Ryuichi Okamoto , Kenichiro Koga , Akira Onuki

Electric double layer (EDL) formation underlies the functioning of supercapacitors and several other electrochemical technologies. Here, we study how the EDL formation near two flat blocking electrodes separated by $2L$ is affected by…

Chemical Physics · Physics 2025-09-23 David Fertig , Mathijs Janssen

We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two-dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

Three analytic results are proposed for a linear form of the modified Poisson-Boltzmann equation in the theory of bulk electrolytes. Comparison is also made with the mean spherical approximation results. The linear theories predict a…

Statistical Mechanics · Physics 2019-06-28 C. W. Outhwaite , L. B. Bhuiyan

Because micro-ions accumulate around highly charged colloidal particles in electrolyte solutions, the relevant parameter to compute their interactions is not the bare charge, but an effective (or renormalized) quantity, whose value is…

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

Several statistical mechanical theories predict that colloidal suspensions of highly charged macroions and monovalent microions can exhibit unusual thermodynamic phase behavior when strongly deionized. Density-functional, extended…

Soft Condensed Matter · Physics 2009-11-11 A. R. Denton

We study the interaction between two charge regulating spherical macroions with dielectric interior and dissociable surface groups immersed in a monovalent electrolyte solution. The charge dissociation is modelled via the…

Soft Condensed Matter · Physics 2023-12-11 Hu Ruixuan , Arghya Majee , Jure Dobnikar , Rudolf Podgornik

We investigate the phenomenon of counterion condensation in a solution of highly charged rigid polyelectrolytes within the cell model. A method is proposed which -- based on the charge distribution function -- identifies both the fraction…

Soft Condensed Matter · Physics 2009-10-31 Markus Deserno , Christian Holm , Sylvio May

Within a dipolar Poisson-Boltzmann theory including electrostatic correlations, we consider the effect of explicit solvent structure on solvent and ion partition confined to charged nanopores. We develop a relaxation scheme for the solution…

Soft Condensed Matter · Physics 2015-10-28 Sahin Buyukdagli

Electrolyte solutions play an important role in energy storage devices, whose performance highly relies on the electrokinetic processes at sub-micron scales.\ Although fluctuations and stochastic features become more critical at small…

Soft Condensed Matter · Physics 2022-06-08 Mingge Deng , Faisal Tushar , Luis Bravo , Anindya Ghoshal , George Karniadakis , Zhen Li

We study the ionic distribution near a charged surface. A new method for performing Monte Carlo simulations in this geometry is discussed. A theory is then presented that allows us to accurately reproduce the density profiles obtained in…

Chemical Physics · Physics 2012-11-09 Alexandre P. dos Santos , Yan Levin

We study suspensions of colloidal spheres with a constant zeta-potential within Poisson-Boltzmann theory, quantifying the discharging of the spheres with increasing colloid density and decreasing salt concentration. We use the calculated…

Soft Condensed Matter · Physics 2013-10-16 Frank Smallenburg , Niels Boon , Maarten Kater , Marjolein Dijkstra , René van Roij

We have investigated a single charged microgel in aqueous solution with a combined simulational model and Poisson-Boltzmann theory. In the simulations we use a coarse-grained charged bead-spring model in a dielectric continuum, with…

Soft Condensed Matter · Physics 2009-03-12 Gil C. Claudio , Christian Holm , Kurt Kremer

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

Soft Condensed Matter · Physics 2017-10-17 Timo Schmetzer

The electrostatic potential of a highly charged disc (clay platelet) in an electrolyte is investigated in detail. The corresponding non-linear Poisson-Boltzmann (PB) equation is solved numerically, and we show that the far-field behaviour…

Soft Condensed Matter · Physics 2009-11-10 R. Agra , E. Trizac , L. Bocquet

The organization of water molecules and ions between charged mineral surfaces determines the stability of colloidal suspensions and the strength of phase-separated particulate gels. In this article we assemble a density functional that…

Soft Condensed Matter · Physics 2024-05-15 Thomas Petersen

A field theoretic representation of the classical partition function is derived for a system composed of a mixture of anisotropic and isotropic mobile charges that interact {\sl via} long range Coulomb and short range nematic interactions.…

Soft Condensed Matter · Physics 2021-01-29 Rudolf Podgornik