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We study the attractive interactions between rod-like charged polymers in solution that appear in the presence of multi-valence counterions. The counterions condensed to the rods exhibit both a strong transversal polarization and a…

Soft Condensed Matter · Physics 2009-10-31 Francisco J. Solis , Monica Olvera de la Cruz

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

We investigate electro-osmosis in aqueous solutions of polyelectrolytes using mean-field equations. A solution of positively charged polyelectrolytes is confined between two negatively charged planar surfaces, and an electric field is…

Soft Condensed Matter · Physics 2015-06-16 Yuki Uematsu , Takeaki Araki

Over the past few decades the experimental literature has consistently reported observations of attraction between like-charged colloidal particles and macromolecules in solution. Examples include nucleic acids and colloidal particles in…

Soft Condensed Matter · Physics 2020-04-22 Alzbeta Kubincova , Philippe H. Hunenberger , Madhavi Krishnan

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

This paper examines the response of electrolyte-saturated polymer gels, embedded with charged spherical inclusions, to a weak gradient of electrolyte concentration. These composites present a model system to study microscale electrokinetic…

Soft Condensed Matter · Physics 2009-11-11 Reghan J. Hill

By using the generalized version of the Shell Theorem analytical equations are derived to calculate the electric energy of a charged sphere and the field energy of the electrolyte inside and around the sphere. These electric energies are…

Soft Condensed Matter · Physics 2021-01-21 Istvan P. Sugar

The electrostatic interaction between pairs of spherical or macroscopically long, parallel cylindrical colloids trapped at fluid interfaces is studied theoretically for the case of small inter-particle separations. Starting from the…

Soft Condensed Matter · Physics 2018-11-30 Arghya Majee , Markus Bier , S. Dietrich

Poisson-Boltzmann theory is the cornerstone for soft matter electrostatics. We provide novel exact analytical solutions to this non-linear mean-field approach, for the diffuse layer of ions in the vicinity of a planar or a cylindrical…

Soft Condensed Matter · Physics 2020-01-29 L. Samaj , E. Trizac

The multipole expansion of the polarization interaction between a charged particle and an electrically charged particle has long been known to be asymptotic in nature, i.e. the multiple expansion diverges at any finite distance from the…

Atomic Physics · Physics 2011-08-02 Yong-Hui Zhang , Li-Yan Tang , Xian-Zhou Zhang , J. Mitroy

A nonlinear response theory is developed and applied to electrostatic interactions between spherical macroions, screened by surrounding microions, in charge-stabilized colloidal suspensions. The theory describes leading-order nonlinear…

Soft Condensed Matter · Physics 2009-11-10 A. R. Denton

We study the effect of asymmetry in solvent and ionic size on the equilibrium properties of multivalent ionic solutions near a charged surface. For a single ionic species in solution, we derive a generalized Grahame equation at the charged…

Soft Condensed Matter · Physics 2026-03-31 Or Ben Yaakov , Haim Diamant , Rudolf Podgornik , David Andelman

This chapter deals with charged polymers (polyelectrolytes) in solution and at surfaces. The behavior of polyelectrolytes is markedly different from that of neutral polymers. In bulk solutions, i.e. disregarding the surface effect, there…

Soft Condensed Matter · Physics 2009-09-25 Roland R. Netz , David Andelman

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

An alternative approach to density functional theory based on self-consistent field theory for ring polymers is applied to neutral atoms hydrogen to neon in their ground states. The spontaneous emergence of atomic shell structure and…

Quantum Physics · Physics 2026-02-05 Phil A. LeMaitre , Russell B. Thompson

We propose a detailed description of the structure of the layer formed by polyelectrolyte chains adsorbed onto an oppositely charged surface in the semi-dilute regime. We combine the mean-field Poisson-Boltzmann-Edwards theory and the…

Soft Condensed Matter · Physics 2019-02-20 Manoel Manghi , Miguel Aubouy

We study theoretically using scaling arguments the behavior of polyelectrolyte gels in poor solvents. Following the classical picture of Katchalsky, our approach is based on single chain elasticity but it accounts for the recently proposed…

Soft Condensed Matter · Physics 2007-05-23 T. A. Vilgis , A. Johner , J. -F. Joanny

We investigate a double-layer of penetrable ions near a charged wall. We find a new mechanism for charge reversal that occurs in the weak-coupling regime and, accordingly, the system is suitable for the mean-field analysis. The…

Soft Condensed Matter · Physics 2013-05-06 Derek Frydel , Yan Levin

We characterize the role of electrostatic fluctuations on the charge selectivity of cylindrical nanopores confining electrolyte mixtures. To this end, we develop an extended one-loop theory that can account for correlation effects induced…

Soft Condensed Matter · Physics 2014-03-05 Sahin Buyukdagli , T. Ala-Nissila

We investigate structural and thermodynamic properties of aqueous dispersions of ionic microgels -- soft colloidal gel particles that exhibit unusual phase behavior. Starting from a coarse-grained model of microgel macroions as charged…

Soft Condensed Matter · Physics 2015-01-26 Mary M. Hedrick , Jun Kyung Chung , Alan R. Denton