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Two-dimensional Born-Infeld electrostatic fields behaving as the superposition of two point-like charges in the linearized (Maxwellian) limit are worked out by means of a non-holomorphic mapping of the complex plane. The changes underwent…

High Energy Physics - Theory · Physics 2008-11-26 Rafael Ferraro , Maria Evangelina Lipchak

We investigate the interaction between highly charged lipid bilayers in the presence of monovalent counterions. Neutron and X-ray reflectivity experiments show that the water layer between like-charged bilayers is thinner than for…

The solution of the Poisson--Boltzmann equation for counterions confined between two charged plates is known analytically up to a constant, namely, the ion density in the middle of the channel. This quantity is relevant also because it…

Computational Physics · Physics 2018-09-06 Andrei Bazarenko , Marcello Sega

Periodic supercell models of electric double layers formed at the interface between a charged surface and an electrolyte are subject to serious finite size errors and require certain adjustments in the treatment of the long-range…

Chemical Physics · Physics 2024-07-10 Thomas Sayer , Chao Zhang , Michiel Sprik

Interparticle interactions in charge-stabilized colloidal suspensions, of arbitrary salt concentration, are described at the level of effective interactions in an equivalent one-component system. Integrating out from the partition function…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

For the structure of the thin electrical double layer~(EDL) and the property related to the EDL capacitance, we analyze boundary layer solutions (corresponding to the electrostatic potential) of a non-local elliptic equation which is a…

Analysis of PDEs · Mathematics 2018-07-31 Chiun-Chang Lee

Within the framework of a discrete Gaussian model, we present analytical results for the interaction induced by a lamellar phase between small embedded colloids. We consider the two limits of particles strongly adherent to the adjacent…

Surfaces of ionic solids interacting with an ionic solution can build up charge by exchange of ions. The surface charge is compensated by a strip of excess charge at the border of the electrolyte forming an electric double layer. These…

Chemical Physics · Physics 2016-12-21 Chao Zhang , Michiel Sprik

The study of the electrical double layer lies at the heart of colloidal and interfacial science. The standard mean-field Poisson-Boltzmann (PB) theory is incapable of modeling many phenomena originated from ion correlation. An important…

Soft Condensed Matter · Physics 2022-09-26 Nikhil R. Agrawal , Rui Wang

We present a theory which allows us to calculate the interaction potential between charge-regulated metal nanoparticles inside an acid-electrolyte solution. The approach is based on the recently introduced model of charge regulation which…

Soft Condensed Matter · Physics 2020-12-11 Amin Bakhshandeh , Alexandre P. dos Santos , Yan Levin

We develop a theory for the optical conductivity of doped multilayer graphene including the effects of electron-electron interactions. Applying the quantum kinetic formalism, we formulate a set of pseudospin Bloch equations that governs the…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Xiao Li , Wang-Kong Tse

This study uses a coarse-grained Monte Carlo algorithm to model and simulate the coadsorption of a binary mixture of counterionic colloids in Gibbs monolayers. These monolayers form at a idealized air-water interface, with one non-soluble…

Soft Condensed Matter · Physics 2024-03-25 J. M. Gómez-Verdú , B. Martínez-Haya , A. Cuetos

The structure of cylindrical double layers is studied using a modified Poisson Boltzmann theory and the density functional approach. In the model double layer, the electrode is a cylindrical polyion that is infinitely long, impenetrable,…

Soft Condensed Matter · Physics 2013-12-18 V. Dorvilien , C. N. Patra , L. B. Bhuiyan , C. W. Outhwaite

We report a numerical investigation of two colloids immersed in a critical solvent, with the aim of quantifying the effective colloid-colloid interaction potential. By turning on an attraction between the colloid and the solvent particles…

Soft Condensed Matter · Physics 2012-09-12 Nicoletta Gnan , Emanuela Zaccarelli , Francesco Sciortino

Electric double layers (EDL) with counterions only, say electrons with the elementary charge $-e$, in thermal equilibrium at the inverse temperature $\beta$ are considered. In particular, we study the effect of the surface charge modulation…

Statistical Mechanics · Physics 2022-07-26 Ladislav Šamaj

The cell-model and its treatment on the Poisson-Boltzmann level are two important concepts in the theoretical description of charged macromolecules. In this brief contribution to the Proceedings of the NATO-ASI on ``Electrostatic Effects in…

Soft Condensed Matter · Physics 2007-05-23 Markus Deserno , Christian Holm

The present paper - a continuation of our recent series of papers on Casimir friction for a pair of particles at low relative particle velocity - extends the analysis so as to include dense media. The situation becomes in this case more…

Quantum Physics · Physics 2013-07-31 Johan S. Høye , Iver Brevik

Effective electrostatic interactions between colloidal particles, coated with polyelectrolyte brushes and suspended in an electrolyte solvent, are described via linear response theory. The inner cores of the macroions are modeled as hard…

Soft Condensed Matter · Physics 2009-11-10 Hao Wang , Alan R. Denton

The exploration of strongly-interacting finite-density states of matter has been a major recent application of gauge-gravity duality. When the theories involved have a known Lagrangian description, they are typically deformations of large…

High Energy Physics - Theory · Physics 2014-12-18 Aleksey Cherman , Sašo Grozdanov , Edward Hardy

We study the critical Casimir interaction between two spherical colloids immersed in a binary liquid mixture close to its critical demixing point. The surface of each colloid prefers one species of the mixture with the exception of a…

Statistical Mechanics · Physics 2020-04-22 Nima Farahmand Bafi , Piotr Nowakowski , Siegfried Dietrich
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