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A simple model of soap films with nonionic surfactants stabilized by added electrolyte is studied. The model exhibits charge regularization due to the incorporation of a physical mechanism responsible for the formation of a surface charge.…

Soft Condensed Matter · Physics 2009-11-07 D. S. Dean , R. R. Horgan

In the study of colloidal, biological and electrochemical systems, it is customary to treat surfaces, macromolecules and electrodes as homogeneously charged. This simplified approach is proven successful in most cases, but fails to describe…

Soft Condensed Matter · Physics 2022-08-04 Ram M. Adar , David Andelman , Haim Diamant

We consider the non-linear Poisson-Boltzmann theory for a single cylindrical or spherical macro-ion in symmetric 1:1, together with asymmetric 1:2 and 2:1 electrolytes. We focus on the regime where $\kappa a $, the ratio of the macro-ion…

Soft Condensed Matter · Physics 2015-07-28 L. Samaj , E. Trizac

We comment on the macroscopic model for surface plasmons of H.-Y. Deng [New J. Phys. 21 (2019) 043055; arXiv:1712.06101] and a claim, based on energy conversion from charges to the electric field, that surface plasmons on metallic surfaces…

Optics · Physics 2020-05-11 Gino Wegner , Carsten Henkel

The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this…

Classical Physics · Physics 2010-10-26 Xiangjun Xing

We develop a general formalism to investigate the effect of quenched fixed charge disorder on effective electrostatic interactions between charged surfaces in a one-component (counterion-only) Coulomb fluid. Analytical results are…

Soft Condensed Matter · Physics 2009-11-11 Ali Naji , Rudolf Podgornik

We investigate, within a local density functional theory formalism, the interactions between like-charged polyions immersed in a confined electrolyte. We obtain a simple condition for a repulsive effective pair potential, that can be…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac

The Debye charging method is generalized to study the linear response properties of the asymmetric primitive model for electrolytes. Analytic results are obtained for the effective charge distributions of constituent ions inside the…

Soft Condensed Matter · Physics 2016-11-23 Mingnan Ding , Yihao Liang , Bing-Sui Lu , Xiangjun Xing

Plane wave density functional theory codes generally assume periodicity in all three dimensions. This causes difficulties when studying charged systems, for instance energies per unit cell become infinite, and, even after being renormalised…

Materials Science · Physics 2021-04-13 MJ Rutter

We consider the electrostatic interaction between two rigid membranes, with different surface charge densities of opposite sign, across an aqueous solution without added salt. Exact solutions to the nonlinear Poisson-Boltzmann equation are…

Soft Condensed Matter · Physics 2016-08-31 A. W. C. Lau , P. Pincus

The persistence length of a single, intrinsically rigid polyelectrolyte chain, above the Manning condensation threshold is investigated theoretically in presence of added salt. Using a loop expansion method, the partition function is…

Statistical Mechanics · Physics 2009-11-07 Gil Ariel , David Andelman

The electric charge renormalization constant, as defined in the Thomson limit, is expressed in terms of self-energies of the photon-Z-boson system in an arbitrary R_\xi-gauge to all perturbative orders. The derivation as carried out in the…

High Energy Physics - Phenomenology · Physics 2021-03-24 Stefan Dittmaier

We study the spatial and orientational distribution of rodlike counterions (such as mobile nanorods) as well as the effective interaction mediated by them between two plane-parallel surfaces that carry fixed (quenched) heterogeneous charge…

Soft Condensed Matter · Physics 2020-10-01 Ali Naji , Kasra Hejazi , Elnaz Mahgerefteh , Rudolf Podgornik

An extension of the renormalized Jellium model which allows to study colloidal suspensions containing trivalent counterions is proposed. The theory is based on a modified Poisson-Boltzmann equation which incorporates the effects of…

Soft Condensed Matter · Physics 2012-03-26 Thiago E. Colla , Yan Levin

A highly-charged spherical colloid in a salt-free environment exerts such a powerful attraction on its counterions that a certain fraction condenses onto the surface of a particle. The degree of condensation depends on the curvature of the…

We present a theory that enables us to calculate the effective surface charge of colloidal particles and to efficiently obtain titration curves for different salt concentrations. The theory accounts for the shift of pH of solution due to…

Soft Condensed Matter · Physics 2022-11-01 Amin Bakhshandeh , Derek Frydel , Yan Levin

The adsorption of highly \textit{oppositely} charged flexible polyelectrolytes onto a charged spherical surface is investigated by means of Monte Carlo simulations in a fashion which resembles the layer-by-layer deposition technique…

Soft Condensed Matter · Physics 2007-05-23 Rene Messina , Christian Holm , Kurt Kremer

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 study a classical system of identically charged counter-ions near a planar wall carrying a uniform surface charge density. The equilibrium statistical mechanics of the system depends on a single dimensionless coupling parameter. A new…

Soft Condensed Matter · Physics 2019-01-21 I. Palaia , M. Trulsson , L. Samaj , E. Trizac

Macromolecules, when immersed in a polar solvent like water, become charged by a fixed surface charge density which is compensated by ``counter-ions'' moving out of the surface. Such classical particle systems exhibit poor screening…

Statistical Mechanics · Physics 2015-11-04 Ladislav Šamaj