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We generalize the concept of charge regulation of ionic solutions, and apply it to complex fluids with mobile macro-ions having internal non-electrostatic degrees of freedom. The suggested framework provides a convenient tool for…

Soft Condensed Matter · Physics 2018-01-17 Tomer Markovich , David Andelman , Rudi Podgornik

We review a model for a solid electrolyte derived under thermodynamics principles. We non-dimensionalise and scale the model to identify small parameters, where we identify a scaling that controls the width of the space-charge layer in the…

Applied Physics · Physics 2023-06-23 Laura M. Keane , Iain R. Moyles

We use molecular dynamics simulations of the primitive model of electrolytes to study the ionic structure in aqueous monovalent electrolyte solutions confined by charged planar interfaces over a wide range of electrolyte concentration,…

Soft Condensed Matter · Physics 2020-09-08 Nasim Anousheh , Francisco J. Solis , Vikram Jadhao

The structure of dilute electrolyte solutions close to a surface carrying a spatially inhomogeneous surface charge distribution is investigated by means of classical density functional theory (DFT) within the approach of fundamental measure…

Soft Condensed Matter · Physics 2020-06-23 Maximilian Mußotter , Markus Bier , S. Dietrich

The properties of surfaces with charge-regulated patches are studied using non-linear Poisson-Boltzmann theory. Using a mode expansion to solve the non-linear problem efficiently, we reveal the charging behaviour of Debye-length sized…

Soft Condensed Matter · Physics 2015-05-20 Niels Boon , René van Roij

The Poisson-Boltzmann equation for a strongly charged plate inside a generic charge-asymmetric electrolyte is solved using the method of asymptotic matching. Both near field and far field asymptotic behaviors of the potential are…

Soft Condensed Matter · Physics 2015-06-05 Ming Han , Xiangjun Xing

The ionic adsorption around a weakly charged spherical colloid, immersed in size-asymmetric 1:1 and 2:2 salts, is studied. We use the primitive model of an electrolyte to perform Monte Carlo simulations as well as theoretical calculations…

Soft Condensed Matter · Physics 2008-03-29 G. I. Guerrero-García , E. González-Tovar , M. Chávez-Páez , Marcelo Lozada-Cassou

Electrostatic correlations and variable permittivity of electrolytes are essential for exploring many chemical and physical properties of interfaces in aqueous solutions. We propose a continuum electrostatic model for the treatment of these…

Soft Condensed Matter · Physics 2015-06-23 Manman Ma , Zhenli Xu

In this paper, the initial value problem for the Debye--Hueckel drift-diffusion equation is studied. This equation was introduced as a model describing plasma behavior and is also known as a simulation model of MOSFET, and so its solution…

Analysis of PDEs · Mathematics 2026-04-29 Masakazu Yamamoto

The ion distribution of electrolytes near interfaces with dielectric contrast has important consequences for electrochemical processes and many other applications. To date, most studies of such systems have focused on geometrically simple…

Soft Condensed Matter · Physics 2018-11-14 Huanxin Wu , Honghao Li , Francisco J. Solis , Monica Olvera de la Cruz , Erik Luijten

The charge inversion phenomenon is studied by molecular dynamics simulations, focusing on size and valence asymmetric salts, and a threshold of surface charge density for charge inversion. The charge inversion criteria by the…

Soft Condensed Matter · Physics 2009-11-10 Motohiko Tanaka

We present a theory for the equilibrium structure of polyelectrolyte solutions. The main element is a simple, new optimization scheme that allows theories such as the random phase approximation (RPA) to handle the harsh repulsive forces…

Soft Condensed Matter · Physics 2009-11-10 James P. Donley , David R. Heine , David T. Wu

We investigate the coupled dynamics of concentration and charge in asymmetric 1:1 electrolytes, focusing on the interplay between diffusion asymmetry and external electric fields. Using Brownian dynamics simulations and linearized…

Soft Condensed Matter · Physics 2026-01-22 Thê Hoang Ngoc Minh , Sleeba Varghese , Benjamin Rotenberg

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

We study a two-dimensional model for a long cylindrical stiff charged macroion immersed in a charge-asymmetric electrolyte with charge ratio +2/-1. The model is integrable and it allows an exact analytical determination of the effective…

Soft Condensed Matter · Physics 2007-05-23 Gabriel Tellez

Electrostatic correlation effects in inhomogeneous symmetric electrolytes are investigated within a previously developed electrostatic self-consistent (SC) theory (R.R. Netz and H. Orland, Eur. Phys.J. E 11, 301 (2003)). To this aim, we…

Soft Condensed Matter · Physics 2015-06-05 Sahin Buyukdagli , Cristian Achim , Tapio Ala-Nissila

Charge correlations in dense ionic fluids give rise to novel effects such as long-range screening and colloidal stabilization which are not predicted by the classic Debye-Huckel theory. We show that a Coulomb or charge-frustrated Ising…

Soft Condensed Matter · Physics 2018-11-01 Nicholas B. Ludwig , Kinjal Dasbiswas , Dmitri V. Talapin , Suriyanarayanan Vaikuntanathan

Asymmetric valences in a binary electrolyte can significantly affect the performance of systems such as reverse electrodialysis cells, batteries, and supercapacitors. To generate a theoretical understanding of this effect, we consider a…

Chemical Physics · Physics 2026-05-05 Georgina C. Ryan , Mohit P. Dalwadi , Ian M. Griffiths

Properties of fully ionized water plasmas are discussed including plasma charge density oscillations and the screening of the Coulomb law especially in the dilute classical Debye regime. A kinetic model with two charged particle scattering…

High Energy Physics - Phenomenology · Physics 2014-09-19 A. Widom , J. Swain , Y. N. Srivastava

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