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Within a general framework we study the effective, deformation-induced interaction between two colloids trapped at a fluid interface. As an application, we consider the interface deformation owing to the electrostatic field of charged…

Soft Condensed Matter · Physics 2007-05-23 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

Ions are critical to the structure and stability of polyelectrolytes such as nucleic acids. In this work, we systematically calculated the potentials of mean force between two like-charged nanoparticles in salt solutions by Monte Carlo…

Biological Physics · Physics 2015-06-15 Yuan-Yan Wu , Feng-Hua Wang , Zhi-Jie Tan

We consider a one-dimensional model allowing analytical derivation of the effective interactions between two charged colloids. We evaluate exactly the partition function for an electroneutral salt-free suspension with dielectric jumps at…

Soft Condensed Matter · Physics 2021-04-23 Lucas Varela , Gabriel Tellez , Emmanuel Trizac

Effective interactions between like-charged particles immersed in an electrolyte solution were calculated using two integral equation theories, hypernetted-chain (HNC)-Ornstein--Zernike (OZ) and ionic Percus--Yevick 2 (IPY2)-OZ. When the…

Soft Condensed Matter · Physics 2022-10-26 Michika Takeda , Kotetsu Maruyama , Ryo Akiyama , Tatsuhiko Miyata

We study a 2D system of identical mobile particles on the surface of a cylinder of finite length $d$ and circumference $W$, immersed in a medium of dielectric constant $\varepsilon$. The two end-circles of the cylinder are like-charged with…

Statistical Mechanics · Physics 2020-11-24 Ladislav Šamaj

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

In mixtures of colloids and nonadsorbing polyelectrolytes, a Donnan potential arises across the region between surfaces that are depleted of polyelectrolyte and the rest of the system. This Donnan potential tends to shift the…

Soft Condensed Matter · Physics 2022-10-27 Jasper Landman , Max P. M. Schelling , Remco Tuinier , Mark Vis

Polyelectrolyte (PE) brushes are widely used in biomaterials and nanotechnology to regulate surface properties and interactions. Here, we apply the electrostatic correlation augmented self-consistent field theory to investigate the…

Soft Condensed Matter · Physics 2024-08-16 Chao Duan , Rui Wang

We derive a Debye-H\"uckel-like model of the electric ion-ion interaction for non-constant dielectric susceptibility, which does not depend on any kind of charging process due to its foundation in the general framework of non-equilibrium…

Chemical Physics · Physics 2025-02-24 Wolfgang Dreyer , Rüdiger Müller

A simple model is presented for the appearance of attraction between two like charged polyions inside a polyelectrolyte solution. The polyions are modeled as rigid cylinders in a continuum dielectric solvent. The strong electrostatic…

Soft Condensed Matter · Physics 2009-10-31 Alexandre Diehl , Humberto A. Carmona , Yan Levin

Recent measurements of microsphere interactions in diverse media suggest that the standard dielectric-continuum models of solution-phase interactions are fundamentally incomplete. Experiments indicate that the interactions of charged…

Soft Condensed Matter · Physics 2026-05-12 Ali Behjatian , Madhavi Krishnan

The screened Coulomb interaction between a pair of infinite parallel planes with spatially varying surface charge is considered in the limit of small electrical potentials for arbitrary Debye lengths. A simple expression for the disjoining…

Classical Physics · Physics 2017-04-12 Sandip Ghosal , John D. Sherwood

A mean-field theory based on Gibbs-Bogoliubov inequality is constructed to study the interactions between two like-charged polyions. It is shown that contrary to the previously established paradigm, a properly constructed mean-field theory…

Soft Condensed Matter · Physics 2009-10-31 Jeferson J. Arenzon , Yan Levin , Juergen F. Stilck

Polyelectrolytes are commonly used to chelate multi-valent ions in aqueous solutions, playing a critical role in water softening and the prevention of mineralization. At sufficient ionic strength, ion-mediated…

Soft Condensed Matter · Physics 2023-11-21 Alec Glisman , Sriteja Mantha , Decai Yu , Eric Wasserman , Scott Backer , Zhen-Gang Wang

The electrostatic correlations between ions profoundly influence the structure and forces within electrical double layers. Here, we apply the modified Gaussian Renormalized Fluctuation theory to investigate the counter-intuitive phenomenon…

Soft Condensed Matter · Physics 2025-02-04 Nikhil R. Agrawal , Carlo Carrao , Rui Wang

We consider an overall neutral system consisting of two similarly charged plates and their oppositely charged counterions and analyze the electrostatic interaction between the two surfaces beyond the mean-field Poisson-Boltzmann…

Soft Condensed Matter · Physics 2016-08-31 A. W. C. Lau , P. Pincus

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

Effective attraction between like-charged walls mediated by counterions is studied using local molecular field (LMF) theory. Monte Carlo simulations of the "mimic system'' given by LMF theory, with short-ranged "Coulomb core" interactions…

Statistical Mechanics · Physics 2009-11-11 Jocelyn M. Rodgers , Charanbir Kaur , Yng-Gwei Chen , John D. Weeks

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…

Chemical Physics · Physics 2013-05-29 Jonathan Landy

Strong short ranged positional correlations involving counterions can induce a net attractive force between negatively charged strands of DNA, and lead to the formation of ion pairs in dilute ionic solutions. But the long range of the…

Statistical Mechanics · Physics 2009-11-11 Yng-Gwei Chen , John D. Weeks