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This work is concerned with the stationary Poisson--Nernst--Planck equation with a large parameter which describes a huge number of ions occupying an electrolytic region. Firstly, we focus on the model with a single specie of positive…

Analysis of PDEs · Mathematics 2023-11-20 Jhih-Hong Lyu , Chiun-Chang Lee , Tai-Chia Lin

The interaction of electrically charged particles in a dilute gas of point--like magnetic dipoles is studied. We show that the interaction potential at small distances has a linear piece due to overlap of the dipole clouds gathered near…

High Energy Physics - Theory · Physics 2009-10-31 M. N. Chernodub

Nonmagnetic spheres confined in a ferrofluid layer (magnetic holes) present dipolar interactions when an external magnetic field is exerted. The interaction potential of a microsphere pair is derived analytically, with a precise care for…

Soft Condensed Matter · Physics 2009-11-10 Renaud Toussaint , Jørgen Akselvoll , Eirik G. Flekkøy , Geir Helgesen , Arne T. Skjeltorp

The Poisson-Boltzmann approach gives asymptotically exact counter-ion density profiles around charged objects in the weak-coupling limit of low valency and high temperature. In this paper we derive, using field-theoretic methods, a theory…

Soft Condensed Matter · Physics 2009-10-31 Andre G. Moreira , Roland R. Netz

In this paper we study the electrostatic interaction of a heterogeneously charged wall with a neutral semipermeable membrane. The wall consists of periodic stripes, where the charge density varies in one direction. The membrane is in a…

Soft Condensed Matter · Physics 2017-02-08 Salim R. Maduar , Vladimir Lobaskin , Olga I. Vinogradova

We study the effective electrostatic interactions between a pair of charged colloidal particles without salt ions while the system is confined in two dimensions. In particular we use a simplified model to elucidate the effects of rotational…

Soft Condensed Matter · Physics 2010-09-09 Chi-Lun Lee , Sio-Kit Ng

Polymeric ionic liquids are emerging polyelectrolyte materials for modern electrochemical applications. In this paper, we propose a self-consistent field theory of the polymeric ionic liquid on a charged conductive electrode. Taking into…

Soft Condensed Matter · Physics 2022-02-02 Yury A. Budkov , Nikolai N. Kalikin , Andrei L. Kolesnikov

We propose an analytical approximation for the dependence of the effective charge on the bare charge for spherical and cylindrical macro-ions as a function of the size of the colloid and salt content, for the situation of a unique colloid…

Soft Condensed Matter · Physics 2016-08-31 M. Aubouy , E. Trizac , L. Bocquet

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 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

By a length scale analysis, we study the equilibrium interactions between two like-charge planes confining neutralising counter-ions. At large Coulombic couplings, approaching the two charged bodies leads to an unbinding of counter-ions, a…

Soft Condensed Matter · Physics 2012-10-23 E. Trizac , L. Samaj

Ion-mediated interaction is important for the properties of polyelectrolytes such as colloids and nucleic acids. The effective pair interactions between two polyelectrolytes have been investigated extensively, but the many-body effect for…

Soft Condensed Matter · Physics 2016-08-19 Xi Zhang , Jin-Si Zhang , Ya-Zhou Shi , Xiao-Long Zhu , Zhi-Jie Tan

It is general wisdom that the pair potential of charged colloids in a liquid may be closely approximated by a Yukawa interaction, as predicted by the classical Derjaguin-Landau-Verwey-Overbeek (DLVO) theory. We experimentally determine the…

Soft Condensed Matter · Physics 2016-07-25 Samuel D. Finlayson , Paul Bartlett

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 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 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

We investigate the statistical mechanics of an inhomogeneous Coulomb fluid composed of charged particles with static polarizability. We derive the weak- and the strong-coupling approximations and evaluate the partition function in a planar…

Soft Condensed Matter · Physics 2013-04-22 Vincent Démery , David S. Dean , Rudolf Podgornik

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 present an analytical approach to the strong coupling regime of similarly and highly charged plates in the presence of counter-ions. The procedure is physically transparent and based on an exact expansion around the ground state formed…

Statistical Mechanics · Physics 2011-02-23 L. Samaj , E. Trizac

We scrutinize the effect of polyvalent ions on polymer-DNA interactions. We extend a recently developed test charge theory to the case of a stiff polymer interacting with a DNA molecule in an electrolyte mixture. The theory accounts for…

Soft Condensed Matter · Physics 2017-03-08 Sahin Buyukdagli