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

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The electric double layer structure in an electrolyte close to a solid substrate near the three-phase contact line is approximated by considering the linearized Poisson-Boltzmann equation in a wedge geometry. The mathematical approach…

Soft Condensed Matter · Physics 2012-09-03 Aaron Dörr , Steffen Hardt

To simulate the transient enhanced diffusion near the surface or interface, a set of equations describing the impurity diffusion and quasichemical reactions of dopant atoms and point defects in ion-implanted layers is proposed and analyzed.…

Materials Science · Physics 2007-05-23 O. I. Velichko , Yu. P. Shaman , A. K. Fedotov , A. V. Masanik

We present a computational scheme for extracting the energy level alignment of a metal/molecule interface, based on constrained density functional theory and local exchange and correlation functionals. The method, applied here to benzene on…

Materials Science · Physics 2015-06-17 A. M. Souza , I. Rungger , C. D. Pemmaraju , U. Schwingenschloegl , S. Sanvito

Recent experiments measuring the electrical conductivity of DNA molecules highlight the need for a theoretical model of ion transport along a charged surface. Here we present a simple theory based on the idea of unbinding of ion pairs. The…

Soft Condensed Matter · Physics 2009-10-23 Brian Skinner , M. S. Loth , B. I. Shklovskii

The equilibrium density profiles in a classical multicomponent plasma near a hard wall made with a dielectric material characterized by a relative dielectric constant $\ew$ are studied from the first Born-Green-Yvon equation combined with…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu

As a first step to meet the challenge to calculate the electronic structure and total energy of charged states of atoms and molecules adsorbed on ultrathin-insulating films supported by a metallic substrate using density functional theory…

Materials Science · Physics 2013-11-01 Iván Scivetti , Mats Persson

The properties of ionic solutions between charged surfaces are often studied within the Poisson-Boltzmann framework, by finding the electrostatic potential profile. For example, the osmotic pressure between two charged planar surfaces can…

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

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 solve the nonlinear Poisson-Boltzmann equation for two parallel and likely charged plates both inside a symmetric elecrolyte, and inside a 2 : 1 asymmetric electrolyte, in terms of Weierstrass elliptic functions. From these solutions we…

Classical Physics · Physics 2013-05-29 Xiangjun Xing

We have extended the classical over-barrier model to simulate the neutralization dynamics of highly charged ions interacting under grazing incidence with conducting and insulating surfaces. Our calculations are based on simple model rates…

Atomic Physics · Physics 2009-10-30 Jens J. Ducree , Fulvio Casali , Uwe Thumm

It is widely accepted that the Poisson-Boltzmann (PB) theory provides a valid description for charged surfaces in the so-called weak coupling limit. Here, we show that the image charge repulsion creates a depletion boundary layer that…

Chemical Physics · Physics 2015-06-23 Rui Wang , Zhen-Gang Wang

We revisit the popular notion of effective or renormalized charge, which is a concept of central importance in the field of highly charged colloidal or polyelectrolyte solutions. Working at the level of a linear Debye-H\"uckel like theory…

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

Using the hypernetted-chain/mean spherical approximation (HNC/MSA) integral equations we study the electrical double layer inside and outside a model charged cylindrical vesicle (nanopore) immersed into a primitive model macroions solution,…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 E. González-Tovar , M. Lozada-Cassou

A new model for the electrical conductivity of dense plasmas with a mixture of ion species, containing no adjustable parameters, is presented. The model takes the temperature, mass density and relative abundances of the species as input. It…

Plasma Physics · Physics 2020-04-22 C. E. Starrett , N. R. Shaffer , D. Saumon , R. Perriot , T. Nelson , L. A. Collins , C. Ticknor

The capacitance of the electric double layer has potential applications in supercapacitors, and theoretical investigations of the double-layer capacitance in binary mixtures are important. In this work, we develop the theory of the electric…

Chemical Physics · Physics 2025-09-01 Yuki Uematsu

A theory is presented which allows us to accurately calculate the density profile of monovalent and multivalent counterions in suspensions of polarizable colloids or nano-particles. In the case of monovalent ions, we derive a weak-coupling…

Soft Condensed Matter · Physics 2011-09-23 Amin Bakhshandeh , Alexandre Pereira dos Santos , Yan Levin

The screened Coulomb interaction between uniformly charged flat plates is considered at very small plate separations for which the Debye layers are strongly overlapped, in the limit of small electrical potentials. If the plates are of…

Soft Condensed Matter · Physics 2017-02-06 Sandip Ghosal , John D. Sherwood

We investigate end-effects in the ion distribution around strongly charged, flexible polyelectrolytes with a quenched charge distribution by molecular dynamics simulations of dilute polyelectrolyte solutions. We take the counterions…

Soft Condensed Matter · Physics 2015-06-24 Hans Jörg Limbach , Christian Holm

Electron charge density is a fundamental physical quantity, determining various properties of matter. In this study, we have proposed a deep-learning model for accurate charge density prediction. Our model naturally preserves physical…

Materials Science · Physics 2023-09-27 Taoyuze Lv , Zhicheng Zhong , Yuhang Liang , Feng Li , Jun Huang , Rongkun Zheng

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

Materials Science · Physics 2007-05-23 Werner A. Hofer , Krisztian Palotas