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Electrostatic interactions between point charges embedded into interfaces separating dielectric media are omnipresent in soft matter systems and often control their stability. Such interactions are typically complicated and do not resemble…

Soft Condensed Matter · Physics 2020-09-09 Alexander Morozov , Iain Muntz , Job H. J. Thijssen , Davide Marenduzzo

The mechanisms of electrostatic interactions between two charged dielectric spheres inside a polarizable medium have been investigated, in terms of hypothetical effective dipoles that depict how the positive and negative charge in each…

Soft Condensed Matter · Physics 2025-02-06 Yanyu Duan , Zecheng Gan , Ho-Kei Chan

In this dissertation we analyzed the double-layer force interaction between two dielectric charged colloidal spheres of different radii immersed in a solution of ions in water and in thermal equilibrium. In the limit of low electrostatic…

Soft Condensed Matter · Physics 2016-03-01 Daniel Martínez Tibaduiza

This work contributes to the problem of determining effective interaction between asymmetrically (likely or oppositely) charged objects whose total charge is neutralized by mobile pointlike counter-ions of the same charge, the whole system…

Statistical Mechanics · Physics 2015-06-22 L. Samaj , E. Trizac

The organization of water molecules and ions between charged mineral surfaces determines the stability of colloidal suspensions and the strength of phase-separated particulate gels. In this article we assemble a density functional that…

Soft Condensed Matter · Physics 2024-05-15 Thomas Petersen

We investigate the electrostatic interactions between two charged anisotropic conductors using a combination of asymptotic and numerical methods. For widely separated particles, we employ the method of reflections to analyze the…

Soft Condensed Matter · Physics 2025-01-13 Harshit Joshi , Anubhab Roy

The structures of dilute electrolyte solutions close to non-uniformly charged planar substrates are systematically studied within the entire spectrum of microscopic to macroscopic length scales by means of a unified classical density…

Soft Condensed Matter · Physics 2022-11-23 Markus Bier , Maximilian Mußotter , S. Dietrich

In this paper we study the electrostatic properties of `Janus' spheres with unequal charge densities on both hemispheres. We introduce a method to compare primitive-model Monte Carlo simulations of the ionic double layer with predictions of…

Soft Condensed Matter · Physics 2012-09-18 Joost de Graaf , Niels Boon , Marjolein Dijkstra , René van Roij

We study, using Monte Carlo simulations, the interaction between charged colloidal particles confined to the air-water interface. The dependence of force on ionic strength and counterion valence is explored. For 1:1 electrolyte, we find…

Soft Condensed Matter · Physics 2018-02-05 Matheus Girotto , Alexandre P. dos Santos , Yan Levin

When solid surfaces are immersed in aqueous solutions, some of their charges can dissociate and leave behind charge patches on the surface. Although the charges are distributed heterogeneously on the surface, most of the theoretical models…

Soft Condensed Matter · Physics 2013-11-19 Dan Ben-Yaakov , David Andelman , Haim Diamant

We present a theory of effective electrostatic interactions in polydisperse suspensions of charged macroions, generalizing to mixtures a theory previously developed for monodisperse suspensions. Combining linear response theory with a…

Soft Condensed Matter · Physics 2013-08-20 Jun Kyung Chung , Alan R. Denton

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

Electrostatic polarization is important in many nano-/micro-scale physical systems such as colloidal suspensions, biopolymers, and nanomaterials assembly. The calculation of polarization potential requires an efficient algorithm for solving…

Soft Condensed Matter · Physics 2015-06-11 Zhenli Xu

We investigate the coupled dynamics of concentration and charge in asymmetric 1:1 electrolytes, focusing on the interplay between diffusion asymmetry and external electric fields. Using Brownian dynamics simulations and linearized…

Soft Condensed Matter · Physics 2026-01-22 Thê Hoang Ngoc Minh , Sleeba Varghese , Benjamin Rotenberg

Electrostatic forces between small groups of colloidal particles are measured using blinking optical tweezers. When the electrostatic screening length is significantly larger than the particle radius, forces are found to be non-pairwise…

Soft Condensed Matter · Physics 2009-11-10 Jason W. Merrill , Sunil K. Sainis , Eric R. Dufresne

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

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

Interparticle interactions and bulk properties of colloidal suspensions can be substantially modified by addition of nanoparticles. Extreme asymmetries in size and charge between colloidal particles and nanoparticles present severe…

Soft Condensed Matter · Physics 2018-01-03 Alan R. Denton

We study the ionic equilibria and interactions of neutral semi-permeable spherical shells immersed in electrolyte solutions, including polyions. Although the shells are uncharged, only one type of ions of the electrolyte can permeate them,…

Soft Condensed Matter · Physics 2012-07-24 Vladimir Lobaskin , Artem N. Bogdanov , Olga I. Vinogradova

Manipulation of the charge of the dielectric interface between two bulk liquids not only enables the adjustment of the interfacial tension but also controls the storage capacity of ions in the ionic double layers adjacent to each side of…

Soft Condensed Matter · Physics 2018-03-14 Marise J. E. Westbroek , Niels Boon , René van Roij