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Related papers: Test-charge theory for the electric double layer

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We consider a set of identical mobile point-like charges (counter-ions) confined to a domain with curved hard walls carrying a uniform fixed surface charge density, the system as a whole being electroneutral. Three domain geometries are…

Soft Condensed Matter · Physics 2016-03-24 Ladislav Samaj , E. Trizac

We consider phase separation on the strip for the two-dimensional Ising model in the near-critical region. Within the framework of field theory, we find exact analytic results for certain two- and three-point correlation functions of the…

Statistical Mechanics · Physics 2021-09-01 Alessio Squarcini , Antonio Tinti

The electric double layer (EDL) that forms at the interface between metals and ionic solutions is at the heart of various energy technologies. Recent experimental data have challenged our traditional understanding of the EDL charging…

Statistical Mechanics · Physics 2026-03-05 Nils Bruch , Michael Eikerling , Tobias Binninger

Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied voltages, high concentration of electrolytes, systems with…

Fluid Dynamics · Physics 2015-06-11 Brian D. Storey , Martin Z. Bazant

We compare weak and strong coupling theory of counterion-mediated electrostatic interactions between two asymmetrically charged plates with extensive Monte-Carlo simulations. Analytical results in both weak and strong coupling limits…

Soft Condensed Matter · Physics 2009-05-26 M. Kanduc , M. Trulsson , A. Naji , Y. Burak , J. Forsman , R. Podgornik

We investigate and quantify salient features of the charge distributions on viral capsids. Our analysis combines the experimentally determined capsid geometry with simple models for ionization of amino acids, thus yielding the detailed…

Biological Physics · Physics 2012-10-23 Anze Losdorfer Bozic , Antonio Siber , Rudolf Podgornik

This paper is the second part of a work devoted to the modelling of thin elastic plates with small, periodically distributed piezoelectric inclusions. We consider the equations of linear elasticity coupled with the electrostatic equation,…

Analysis of PDEs · Mathematics 2013-11-06 Eric Canon , Michel Lenczner

Because micro-ions accumulate around highly charged colloidal particles in electrolyte solutions, the relevant parameter to compute their interactions is not the bare charge, but an effective (or renormalized) quantity, whose value is…

Soft Condensed Matter · Physics 2009-11-07 Lyderic Bocquet , Emmanuel Trizac , Miguel Aubouy

The results for the electrical double layer capacitance and the charge density of ``free ions'' obtained from the mesoscopic theory are compared with the corresponding results of the associative mean spherical approximation. While the first…

Statistical Mechanics · Physics 2026-02-27 O. Patsahan

We use covariance and dimensional analysis to find expressions for the discontinuity of the potential and normal electric field across a flat surface with multipolar charge surface density in vacuum.

Classical Physics · Physics 2007-05-23 S. Gov , S. Shtrikamn , H. Matzner

We formulate a general mean-field theory of a flat electric double layer in ionic liquids and electrolyte solutions with ions possessing static polarizability and a permanent dipole moment on a charged electrode. We establish a new…

Statistical Mechanics · Physics 2021-08-17 Yu. A. Budkov , S. V. Zavarzin , A. L. Kolesnikov

Ionic crystals, such as solid electrolytes and complex oxides, are central to modern technologies for energy storage, sensing, actuation, and other functional applications. An important fundamental issue in the atomic and quantum-scale…

Materials Science · Physics 2026-02-12 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

This work explores the use of joint density-functional theory, a new form of density-functional theory for the ab initio description of electronic systems in thermodynamic equilibrium with a liquid environment, to describe electrochemical…

Materials Science · Physics 2015-06-05 Kendra Letchworth-Weaver , T. A. Arias

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

Using self-assembly techniques, x-ray reflectivity measurements, and computer simulations, we study the effective interaction between charged polymer rods and surfaces. Long-time Brownian dynamics simulations are used to measure the…

Soft Condensed Matter · Physics 2009-10-31 R. Jay Mashl , Niels Grønbech-Jensen , M. R. Fitzsimmons , M. Lütt , DeQuan Li

The conductivity of highly charged membranes is nearly constant, due to counter-ions screening pore surfaces. Weakly charged porous media, or "leaky membranes", also contain a significant concentration of co-ions, whose depletion at high…

Chemical Physics · Physics 2013-04-25 E. Victoria Dydek , Martin Z. Bazant

We devise a scheme to characterize tunneling of an excess electron shared by a pair of tunnel-coupled dangling bonds on a silicon surface -- effectively a two-level system. Theoretical estimates show that the tunneling should be highly…

Mesoscale and Nanoscale Physics · Physics 2014-02-05 Zahra Shaterzadeh-Yazdi , Lucian Livadaru , Marco Taucer , Josh Mutus , Jason Pitters , Robert A. Wolkow , Barry C. Sanders

The electric microfield distribution at charged particles is studied for two-component electron-ion plasmas using molecular dynamics simulation and theoretical models. The particles are treated within classical statistical mechanics using…

Plasma Physics · Physics 2009-11-11 H. B. Nersisyan , C. Toepffer , G. Zwicknagel

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

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov
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