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Mobile charge in an electrolytic solution can in principle be represented as the divergence of ionic polarization. After adding explicit solvent polarization a finite volume of electrolyte can then be treated as a composite non-uniform…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

The adsorption of large ions from solution to a charged surface is investigated theoretically. A generalized Poisson--Boltzmann equation, which takes into account the finite size of the ions is presented. We obtain analytical expressions…

Soft Condensed Matter · Physics 2009-10-31 I. Borukhov , D. Andelman , H. Orland

We present the theory and implementation of a Poisson-Boltzmann implicit solvation model for electrolyte solutions. This model can be combined with arbitrary electronic structure methods that provide an accurate charge density of the…

Computational Physics · Physics 2020-01-08 Christopher J. Stein , John M. Herbert , Martin Head-Gordon

Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied voltages, high concentration of electrolytes, systems with…

Fluid Dynamics · Physics 2015-06-11 Brian D. Storey , Martin Z. Bazant

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $\sigma$ and the ionic…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

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

The consequences of source charge and surface modulation are studied within the framework of the Poisson-Boltzmann theory of electrolyte solutions. Through a consideration of various examples, it is found that inherent modulation can lead…

Chemical Physics · Physics 2013-05-29 Jonathan Landy

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

Analysis of PDEs · Mathematics 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov

The Poisson-Boltzmann (PB) theory is one of the most important theoretical models describing charged systems continuously. However, it suffers from neglecting ion correlations, which hinders its applicability to more general charged systems…

Statistical Mechanics · Physics 2020-08-26 Mao Su , Yanting Wang

Poisson-Boltzmann (PB) theory is the classic approach to soft matter electrostatics which has been applied to numerous problems of physical chemistry and biophysics. Its essential limitations are the neglect of correlation effects and of…

Soft Condensed Matter · Physics 2016-08-03 Sahin Buyukdagli , Ralf Blossey

The standard model for diffuse charge phenomena in colloid science, electrokinetics and biology is the Poisson-Boltzmann mean-field theory, which breaks down for multivalent ions and large surface charge densities due to electrostatic…

Soft Condensed Matter · Physics 2020-02-14 J. Pedro de Souza , Martin Z. Bazant

We consider the Poisson-Boltzmann equation in a periodic cell, representative of a porous medium. It is a model for the electrostatic distribution of $N$ chemical species diluted in a liquid at rest, occupying the pore space with charged…

Analysis of PDEs · Mathematics 2015-04-24 Gregoire Allaire , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

The classical Poisson-Boltzmann (PB) theory of electrolytes assumes a dilute solution of point charges with mean-field electrostatic forces. Even for very dilute solutions, however, it predicts absurdly large ion concentrations (exceeding…

Chemical Physics · Physics 2007-05-23 Mustafa Sabri Kilic , Martin Z. Bazant , Armand Ajdari

The problem of the one dimensional electro-diffusion of ions in a strong binary electrolyte is considered. In such a system the solute dissociates completely into two species of ions with unlike charges. The mathematical description…

Chemical Physics · Physics 2012-03-28 Sandip Ghosal , Zhen Chen

We study the adsorption-desorption transition of polyelectrolyte chains onto planar, cylindrical and spherical surfaces with arbitrarily high surface charge densities by massive Monte Carlo computer simulations. We examine in detail how the…

Soft Condensed Matter · Physics 2016-10-05 Sidney J. de Carvalho , Ralf Metzler , Andrey G. Cherstvy

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 non-linear Poisson-Boltzmann equation for a circular, uniformly charged platelet, confined together with co- and counter-ions to a cylindrical cell, is solved semi-analytically by transforming it into an integral equation and solving…

Soft Condensed Matter · Physics 2009-10-31 R. J. F. Leote de Carvalho , E. Trizac , J. P Hansen

Recently an improved long-range model for electrolyte solutions was developed that is applicable from infinite dilution to pure salt. This paper tests this claim for the first time applying it to the calculation of liquid-liquid equilibria…

Soft Condensed Matter · Physics 2023-04-05 Hugo Marques , Andrés González de Castilla , Simon Müller , Irina Smirnova

Understanding the behavior of biomolecules such as proteins requires understanding the critical influence of the surrounding fluid (solvent) environment--water with mobile salt ions such as sodium. Unfortunately, for many studies, fully…

Soft Condensed Matter · Physics 2015-05-27 J. P. Bardhan , D. A. Tejani , N. S. Wieckowski , A. Ramaswamy , M. G. Knepley