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In this paper within a field-theoretical approach taking into account explicitly a co-solvent with a nonzero dipole and a polarizability tensor, we derive a modified Poisson-Boltzmann equation. Applying the modified Poisson-Boltzmann…

Soft Condensed Matter · Physics 2015-09-02 Y. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

Two main approaches in particle-based simulations for modeling a charged surface are using explicit, discrete charges and continuum, uniform charges. It is well-known that these two approaches could lead to substantially distinct ionic…

Soft Condensed Matter · Physics 2022-08-02 Jiaxing Yuan , Yanwei Wang

We study the effective interaction mediated by strongly coupled Coulomb fluids between dielectric surfaces carrying quenched, random monopolar charges with equal mean and variance, both when the Coulomb fluid consists only of mobile…

Soft Condensed Matter · Physics 2020-10-01 Malihe Ghodrat , Ali Naji , Haniyeh Komaie-Moghaddam , Rudolf Podgornik

We extend our previous study of surface tension of ionic solutions and apply it to the case of acids (and salts) with strong ion-surface interactions. These ion-surface interactions yield a non-linear boundary condition with an effective…

Soft Condensed Matter · Physics 2017-02-17 Tomer Markovich , David Andelman , Rudi Podgornik

We calculate ion distributions near a planar oil-water interface within non-linear Poisson-Boltzmann theory, taking into account the Born self-energy of the ions in the two media. For unequal self-energies of cations and anions, a…

Soft Condensed Matter · Physics 2013-06-06 Jos Zwanikken , Joost de Graaf , Markus Bier , René van Roij

The equilibrium properties of ionic microgels are investigated using a combination of the Poisson-Boltzmann and Flory theories. Swelling behavior, density profiles, and effective charges are all calculated in a self-consistent way. Special…

Soft Condensed Matter · Physics 2015-06-22 Thiago Colla , Christos N. Likos , Yan Levin

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

In mixtures of colloids and nonadsorbing polyelectrolytes, a Donnan potential arises across the region between surfaces that are depleted of polyelectrolyte and the rest of the system. This Donnan potential tends to shift the…

Soft Condensed Matter · Physics 2022-10-27 Jasper Landman , Max P. M. Schelling , Remco Tuinier , Mark Vis

The response of a suspension under a variety of static or alternating external fields strongly depends on the equilibrium electric double layer that surrounds the colloidal particles in the suspension. The theoretical models for salt-free…

Soft Condensed Matter · Physics 2022-02-11 Jun-Sik Sin , Kwang-Il Kim , Kuk-Chol Ri , Dok-Yong Ju , Nam-Hyok Kim , Chung-Sik Sin

The distribution of counterions and the electrostatic interaction between two similarly charged dielectric slabs is studied in the strong coupling limit. Dielectric inhomogeneities and discreteness of charge on the slabs have been taken…

Biological Physics · Physics 2015-06-12 Weria Pezeshkian , Narges Nikoofard , Davood Norouzi , Farshid Mohammad-Rafiee , Hossein Fazli

In this paper, we investigate the consequences of ion association, coupled with the considerations of finite size effects and orientational ordering of Bjerrum pairs as well as ions and water molecules, on electric double layer near charged…

Soft Condensed Matter · Physics 2022-02-07 Jun-Sik Sin

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

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

We investigate the effect of quenched surface charge disorder on electrostatic interactions between two charged surfaces in the presence of dielectric inhomogeneities and added salt. We show that in the linear weak-coupling regime (i.e., by…

Soft Condensed Matter · Physics 2007-05-23 Rudolf Podgornik , Ali Naji

Understanding the response of the surface of metallic solids to external electric field sources is crucial to characterize electrode-electrolyte interfaces. Continuum electrostatics offer a simple description of the induced charge density…

Chemical Physics · Physics 2021-12-14 Giovanni Pireddu , Laura Scalfi , Benjamin Rotenberg

We examine electrolyte systems confined between two parallel, grounded metal plates using a field-theoretic approach truncated at one-loop order. For symmetric electrolytes, the density distribution of the ions is non-uniform, with a…

Soft Condensed Matter · Physics 2007-05-23 T. Brandes , L. Lue

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

We simulate model systems of charged spherical particles in their counterion solution and measure the thermodynamic pressure and the pair distribution function from which we derive effective potentials of mean force. For a system with only…

Soft Condensed Matter · Physics 2007-05-23 Niels Gronbech-Jensen , Keith M Beardmore , Philip Pincus

We present a continuation of our theoretical research into the influence of co-solvent polarizability on a differential capacitance of the electric double layer [EPL 111, 28002 (2015)]. We formulate a modified Poisson-Boltzmann theory,…

Soft Condensed Matter · Physics 2016-05-11 Yu. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

Surface sensitive synchrotron-X-ray scattering studies reveal the distributions of monovalent ions next to highly charged interfaces. A lipid phosphate (dihexadecyl hydrogen-phosphate) was spread as a monolayer at the air-water interface,…

Soft Condensed Matter · Physics 2009-11-11 Wei Bu , David Vaknin , Alex Travesset