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We consider a system of charged particles moving on the real line driven by electrostatic interactions. Since we consider charges of both signs, collisions might occur in finite time. Upon collision, some of the colliding particles are…

Analysis of PDEs · Mathematics 2022-07-01 Patrick van Meurs , Mark A. Peletier , Norbert Pozar

Forces between charged silica particles in solutions of multivalent coions are measured with colloidal probe technique based on atomic force microscopy. The concentration of 1:z electrolytes is systematically varied to understand the…

Soft Condensed Matter · Physics 2019-08-08 Biljana Uzelac , Valentina Valmacco , Gregor Trefalt

We perform computational investigations of electrolyte-mediated interactions of charged colloidal particles confined within nanochannels. We investigate the role of discrete ion effects, valence, and electrolyte strength on colloid-wall…

Soft Condensed Matter · Physics 2023-02-28 Inderbir S. Sidhu , Amalie L. Frischknecht , Paul J. Atzberger

The effects of Brownian motion on particle interactions with heterogeneous collectors are evaluated by adding stochastic Brownian displacements to the particle trajectories and comparing those trajectories to those where Brownian motion is…

Soft Condensed Matter · Physics 2015-10-23 Marina Bendersky , Maria M. Santore , Jeffrey M. Davis

Surface properties of mixtures of charged platelike colloids and salt in contact with a charged planar wall are studied within density functional theory. The particles are modeled by hard cuboids with their edges constrained to be parallel…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Ludger Harnau , S. Dietrich

We present the detailed analysis of the diffusive transport of spatially inhomogeneous fluid mixtures and the interplay between structural and dynamical properties varying on the atomic scale. The present treatment is based on different…

Mesoscale and Nanoscale Physics · Physics 2011-05-19 Umberto Marini Bettolo Marconi , Simone Melchionna

The general form of the electrostatic potential around an arbitrarily charged colloid at an interface between a dielectric and a screening phase (such as air and water, respectively) is analyzed in terms of a multipole expansion. The…

Soft Condensed Matter · Physics 2008-07-11 A. Dominguez , D. Frydel , M. Oettel

Since the early observation of nematic phases of disc-like clay colloids by Langmuir in 1938, the phase behaviour of such systems has resisted theoretical understanding. The main reason is that there is no satisfactory generalization for…

Soft Condensed Matter · Physics 2009-11-07 E. Trizac , L. Bocquet , R. Agra , J-J. Weis , M. Aubouy

We describe a method to simulate the dynamics of charged colloidal particles suspended in a liquid containing dissociated ions and salt ions. Regimes of prime current interest are those of large volume fraction of colloids, highly charged…

Soft Condensed Matter · Physics 2008-01-28 J. Dobnikar , D. Haložan , M. Brumen , H. -H. von Grünberg , R. Rzehak

We consider a system of colloidal particles embedded in a paranematic -- an isotropic phase of a nematogenic medium above the temperature of the nematic-to-isotropic transition. In this state, the nematic order is induced by the boundary…

Analysis of PDEs · Mathematics 2025-08-08 Dmitry Golovaty , Jamie Taylor , Raghavendra Venkatraman , Arghir Zarnescu

We study charge regulation of colloidal particles inside aqueous electrolyte solutions. To stabilize colloidal suspension against precipitation, colloidal particles are synthesized with either acidic or basic groups on their surface. In…

Soft Condensed Matter · Physics 2020-09-16 Amin Bakhshandeh , Derek Frydel , Yan Levin

The electromechanical response of polymeric soft matter to applied electric fields is of fundamental scientific interest as well as relevant to technologies for sensing and actuation. Several existing theoretical and numerical approaches…

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

We present an accurate and efficient algorithm to calculate the electrostatic interaction of charged point particles with partially periodic boundary conditions that are confined along the nonperiodic direction by two metallic parallel…

Materials Science · Physics 2016-11-03 Samare Rostami , S. Alireza Ghasemi , Ehsan Nedaaee Oskoee

Electrostatic interactions play an important role in numerous self-assembly phenomena, including colloidal aggregation. Although colloids typically have a dielectric constant that differs from the surrounding solvent, the effective…

Soft Condensed Matter · Physics 2018-09-17 Kipton Barros , Erik Luijten

We present a theory to investigate electro-kinetic behavior, namely, electrorotation and dielectrophoresis under alternating current (AC) applied fields for a pair of touching inhomogeneous colloidal particles and biological cells. These…

Soft Condensed Matter · Physics 2007-05-23 J. P. Huang , Mikko Karttunen , K. W. Yu , L. Dong , G. Q. Gu

Based on Brownian Dynamics computer simulations in two dimensions we investigate aggregation scenarios of colloidal particles with directional interactions induced by multiple external fields. To this end we propose a model which allows…

Soft Condensed Matter · Physics 2015-05-08 Florian Kogler , Orlin D. Velev , Carol K. Hall , Sabine H. L. Klapp

This article describes Monte-Carlo algorithms for charged systems using constrained updates for the electric field. The method is generalized to treat inhomogeneous dielectric media, electrolytes via the Poisson-Boltzmann equation and…

Statistical Mechanics · Physics 2009-11-10 A. C. Maggs

In equilibrium, the collective behaviour of particles interacting via steep, short-ranged potentials is well captured by the virial expansion of the free energy at low density. Here, we extend this approach beyond equilibrium to the case of…

Soft Condensed Matter · Physics 2023-06-21 Yuting Irene Li , Rosalba Garcia-Millan , Michael E. Cates , Étienne Fodor

We present an approach to the dynamics of interacting particle systems, which allows to derive path integral formulas from purely stochastic considerations. We show that the resulting field theory is a dual version of the standard theory of…

Statistical Mechanics · Physics 2008-11-26 Alexandre lefevre , Giulio Biroli