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A nonlinear response theory is developed and applied to electrostatic interactions between spherical macroions, screened by surrounding microions, in charge-stabilized colloidal suspensions. The theory describes leading-order nonlinear…

软凝聚态物质 · 物理学 2009-11-10 A. R. Denton

A parallel plate capacitor containing an electrolytic solution is the simplest model of a supercapacitor, or electric double layer capacitor. Using both analytical and numerical techniques, we solve the Poisson-Nernst-Planck equations for…

软凝聚态物质 · 物理学 2025-10-02 Ivan Palaia , Adelchi J. Asta , Megh Dutta , Patrick B. Warren , Benjamin Rotenberg , Emmanuel Trizac

Within the Poisson-Boltzmann (PB) framework useful for a wealth of charged soft matter problems, we work out the Coulombic grand potential of a long cylindrical charged polyion in a binary electrolyte solution of arbitrary valency and for…

软凝聚态物质 · 物理学 2019-10-01 Gabriel Tellez , Emmanuel Trizac

Ionic microgels are soft colloidal particles, composed of crosslinked polymer networks, that ionize and swell when dispersed in a good solvent. Swelling of these permeable, compressible particles involves a balance of electrostatic,…

软凝聚态物质 · 物理学 2020-01-29 Alan R. Denton , Mohammed O. Alziyadi

We study the electrophoretic mobility of spherical particles and the electrical conductivity in salt-free concentrated suspensions including finite ion size effects. An ideal salt-free suspension is composed of just charged colloidal…

软凝聚态物质 · 物理学 2017-09-13 Rafael Roa , Félix Carrique , Emilio Ruiz-Reina

This work is concerned with the stationary Poisson--Nernst--Planck equation with a large parameter which describes a huge number of ions occupying an electrolytic region. Firstly, we focus on the model with a single specie of positive…

偏微分方程分析 · 数学 2023-11-20 Jhih-Hong Lyu , Chiun-Chang Lee , Tai-Chia Lin

In this paper, we theoretically study the electrostatic interaction between a pair of identical colloids with constant surface potentials sitting in close vicinity of each other at a fluid interface. By employing a simplified yet reasonable…

软凝聚态物质 · 物理学 2020-07-29 Rick Bebon , Arghya Majee

Understanding the response of the surface of metallic solids to external electric field sources is crucial to characterize electrode-electrolyte interfaces. Continuum electrostatics offer a simple description of the induced charge density…

化学物理 · 物理学 2021-12-14 Giovanni Pireddu , Laura Scalfi , Benjamin Rotenberg

We investigate the effect of excluded volume interactions on the electrolyte distribution around a charged macroion. First, we introduce a criterion for determining when hard-core effects should be taken into account beyond standard mean…

软凝聚态物质 · 物理学 2009-11-11 D. Antypov , M. Barbosa , C. Holm

The consequences of source charge and surface modulation are studied within the framework of the Poisson-Boltzmann theory of electrolyte solutions. Through a consideration of various examples, it is found that inherent modulation can lead…

化学物理 · 物理学 2013-05-29 Jonathan Landy

We reformulate the theory of strong electrostatic coupling in order to describe an asymmetric electrolyte solution of monovalent salt ions and polyvalent counterions using field-theoretical techniques and Monte-Carlo simulations. The theory…

软凝聚态物质 · 物理学 2015-05-14 Matej Kanduc , Ali Naji , Jan Forsman , Rudolf Podgornik

Two overall neutral surfaces with positive and negative charged domains ("patches") have been shown in recent experiments to exhibit long-range attraction when immersed in an ionic solution. Motivated by the experiments, we calculate…

软凝聚态物质 · 物理学 2016-08-31 Ram M. Adar , David Andelman , Haim Diamant

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…

软凝聚态物质 · 物理学 2009-10-31 R. Jay Mashl , Niels Grønbech-Jensen , M. R. Fitzsimmons , M. Lütt , DeQuan Li

Mean-field electrostatics is used to calculate the bending moduli of an electric double layer for fixed surface charge density of a macroion in a symmetric 1:1 electrolyte. The resulting expressions for bending stiffness, Gaussian modulus,…

软凝聚态物质 · 物理学 2018-08-06 Guilherme Volpe Bossa , Bjorn K. Berntson , Sylvio May

Uncompensated charges do not occur in Nature and any local charge should be a result of charge separation. Dissociable chemical groups at interfaces in contact with ions in solution, whose chemical equilibrium depends both on short-range…

软凝聚态物质 · 物理学 2019-02-21 Yael Avni , David Andelman , Rudolf Podgornik

The experimentally observed swelling and collapse response of weakly charged polymers to the addition of specific salts displays quite convoluted behavior that is not easy to categorize. Here we use a minimalistic implicit solvent /…

化学物理 · 物理学 2018-08-13 Richard Chudoba , Jan Heyda , Joachim Dzubiella

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…

统计力学 · 物理学 2021-08-17 Yu. A. Budkov , S. V. Zavarzin , A. L. Kolesnikov

The problem of the one dimensional electro-diffusion of ions in a strong binary electrolyte is considered. In such a system the solute dissociates completely into two species of ions with unlike charges. The mathematical description…

化学物理 · 物理学 2012-03-28 Sandip Ghosal , Zhen Chen

We study the effective interaction mediated by strongly coupled Coulomb fluids between dielectric surfaces carrying quenched, random monopolar charges with equal mean and variance, both when the Coulomb fluid consists only of mobile…

软凝聚态物质 · 物理学 2020-10-01 Malihe Ghodrat , Ali Naji , Haniyeh Komaie-Moghaddam , Rudolf Podgornik

We investigate spherical macroions in the strong Coulomb coupling regime within the primitive model in salt-free environment. We first show that the ground state of an isolated colloid is naturally overcharged by simple electrostatic…

软凝聚态物质 · 物理学 2016-08-16 René Messina , Christian Holm , Kurt Kremer