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We study the ionic distribution near a charged surface. A new method for performing Monte Carlo simulations in this geometry is discussed. A theory is then presented that allows us to accurately reproduce the density profiles obtained in…

Chemical Physics · Physics 2012-11-09 Alexandre P. dos Santos , Yan Levin

The effect of concentration-dependent switching of the non-equilibrium depletion interaction between obstacles in a gas flow of interacting Brownian particles is presented. When increasing bath fraction exceeds half-filling, the…

Statistical Mechanics · Physics 2017-02-14 O. V. Kliushnychenko , S. P. Lukyanets

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

Two main approaches in particle-based simulations for modeling a charged surface are using explicit, discrete charges and continuum, uniform charges. It is well-known that these two approaches could lead to substantially distinct ionic…

Soft Condensed Matter · Physics 2022-08-02 Jiaxing Yuan , Yanwei Wang

We investigated the electrostatic interaction between two identical dust grains of an infinite mass immersed in homogeneous plasma by employing first-principles N-body simulations combined with the Ewald method. We specifically tested the…

Plasma Physics · Physics 2014-12-25 Hotaka Itou , Takanobu Amano , Masahiro Hoshino

We study the interaction potential between two polyions inside a colloidal suspension. It is shown that at large separation the interaction potential is purely repulsive, with the induced attractive interactions being doubly screened. For…

Soft Condensed Matter · Physics 2015-06-25 Yan Levin

The electrostatic double layer force is key to determining the stability and self-assembly of charged colloids and many other soft matter systems. Fully understanding the attractive force between two like-charged surfaces remains a great…

Soft Condensed Matter · Physics 2024-02-27 Nikhil R. Agrawal , Ravtej Kaur , Carlo Carraro , Rui Wang

We consider the Poisson-Boltzmann equation in a periodic cell, representative of a porous medium. It is a model for the electrostatic distribution of $N$ chemical species diluted in a liquid at rest, occupying the pore space with charged…

Analysis of PDEs · Mathematics 2015-04-24 Gregoire Allaire , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

We investigate the system constituted by a polarizable atom near a nanosphere under the influence of an external electrostatic field, showing that the attractive dispersive force between them can be overcome by the electrostatic…

Quantum Physics · Physics 2021-08-26 P. P. Abrantes , V. Pessanha , Reinaldo de Melo e Souza , C. Farina

The charge distribution at the interface between two electrolytes is studied for the case of non-vanishing ion fluxes. The analysis is an extension of the established Verwey-Niessen theory to non-equilibrium situations. Applying matched…

Soft Condensed Matter · Physics 2011-05-03 Steffen Hardt , Tobias Baier

Within a mean field treatment of the interaction between two oppositely charged plates in a salt free solution, the distance at which a transition from an attractive to a repulsive regime appears can be computed analytically. The mean field…

Statistical Mechanics · Physics 2011-09-02 Fabien Paillusson , Emmanuel Trizac

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

The discrete and charge-separated nature of matter - electrons and nuclei - results in local electrostatic fields that are ubiquitous in nanoscale structures and are determined by their shape, material, and environment. Such fields are…

I derive formulas for the electrostatic potential of a charge in or near a membrane modeled as one or more dielectric slabs lying between two semi-infinite dielectrics. One can use these formulas in Monte Carlo codes to compute the…

Quantitative Methods · Quantitative Biology 2015-05-27 Kevin Cahill

A multiple-image method is developed to accurately calculate the electrostatic interaction between neutral dielectric particles and a uniformly charged dielectric substrate. The difference in dielectric constants between the particle and…

Soft Condensed Matter · Physics 2024-12-18 Xin Li , Changhao Li , Xiangui Chen , Zaixin Wang , Sun Min , Decai Huang

We develop a thermodynamic description of accumulation-layer heterostructures in which the induced sheet density is partitioned between the near-interface accumulation-layer charge and a complementary screening charge in the surrounding…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Elmar Böckenhoff

The physics of an electron solid, held on a cryogenic liquid surface by a pressing electric field, is examined in a low-density regime that has not been explored before. We consider the effect of the pressing field in distorting the surface…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Masudul Haque , Indranil Paul , Sergey Pankov

A variational theory is developed to study electrolyte solutions, composed of interacting point-like ions in a solvent, in the presence of dielectric discontinuities and charges at the boundaries. Three important and non-linear…

Soft Condensed Matter · Physics 2013-05-29 Sahin Buyukdagli , Manoel Manghi , John Palmeri

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

The electrostatic interaction between colloidal particles trapped at the interface between two immiscible electrolyte solutions is studied in the limit of small inter-particle distances. Within an appropriate model exact analytic…

Soft Condensed Matter · Physics 2014-05-07 Arghya Majee , Markus Bier , S. Dietrich
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