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Related papers: `Exact' solutions of the full electrokinetic model…

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The modelling of electrokinetic flows is a critical aspect spanning many industrial applications and research fields. This has introduced great demand in flexible numerical solvers to describe these flows. The underlying phenomena are…

Numerical Analysis · Mathematics 2023-11-08 Robert Barnett , Federico Municchi , John King , Matteo Icardi

We study the mobility of a charged colloidal particle in a constant homogeneous electric field by means of computer simulations. The simulation method combines a lattice Boltzmann scheme for the fluid with standard Langevin dynamics for the…

Soft Condensed Matter · Physics 2007-06-20 Vladimir Lobaskin , Burkhard Duenweg , Christian Holm

A new lattice method is presented in order to efficiently solve the electrokinetic equations, which describe the structure and dynamics of the charge cloud and the flow field surrounding a single charged colloidal sphere, or a fixed array…

Soft Condensed Matter · Physics 2015-06-05 R. Schmitz , B. Duenweg

We perform numerical simulations of purely repulsive soft colloidal particles interacting via a generalized elastic potential and constrained to a two-dimensional plane and to the surface of a spherical shell. For the planar case, we…

Soft Condensed Matter · Physics 2011-06-16 William L. Miller , Angelo Cacciuto

Dynamic processes in dispersions of charged spherical particles are of importance both in fundamental science, and in technical and bio-medical applications. There exists a large variety of charged-particles systems, ranging from…

Soft Condensed Matter · Physics 2013-11-25 G. Nägele , M. Heinen , A. J. Banchio , C. Contreras-Aburto

We study the electrophoretic mobility of spherical charged colloids in a low-salt suspension as a function of the colloidal concentration. Using an effective particle charge and a reduced screening parameter, we map the data for systems…

Soft Condensed Matter · Physics 2007-05-23 Vladimir Lobaskin , Burkhard Duenweg , Martin Medebach , Thomas Palberg , Christian Holm

We discuss the reliability of integral-equation methods based on several commonly used closure relations in determining the phase diagram of coarse-grained models of soft-matter systems characterized by mutually interacting soft and…

Soft Condensed Matter · Physics 2015-10-28 Roberto Menichetti , Andrea Pelissetto , Giuseppe D'Adamo , Carlo Pierleoni

The equation is considered for a composite scalar particle with polarizabilities in an external quantized electromagnetic plane wave. This equation is reduced to a system of equations for infinite number of interacting oscillators. After…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. I. Kruglov

Density functional theory is used to describe electrolyte solutions in contact with electrodes of planar or spherical shape. For the electrolyte solutions we consider the so-called civilized model, in which all species present are treated…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

The electrophoretic mobility of a spherical particle is well understood, yet how particle shape modifies this mobility at arbitrary Debye length remains an open question. Here, we compute the electrophoretic mobility of a nearly spherical…

Fluid Dynamics · Physics 2026-04-24 Arkava Ganguly , Ankur Gupta

We consider electrophoresis of a single charged colloidal particle in a finite box with periodic boundary conditions, where added counterions and salt ions ensure charge neutrality. A systematic rescaling of the electrokinetic equations…

Soft Condensed Matter · Physics 2009-11-13 B. Duenweg , V. Lobaskin , K. Seethalakshmy-Hariharan , C. Holm

Permeable porous coatings on a flat solid support significantly impact its electrostatic and electrokinetic properties. Existing work has focused on simplified cases, such as weakly charged and/or thick porous films, with limited…

Soft Condensed Matter · Physics 2020-12-02 Elena F. Silkina , Naren Bag , Olga I. Vinogradova

The electrophoretic behaviour of flexible polyelectrolyte chains ranging from single monomers up to long fragments of hundred repeat units is studied by a mesoscopic simulation approach. Abstracting from the atomistic details of the…

Soft Condensed Matter · Physics 2015-05-13 Kai Grass , Christian Holm

We present (asymptotically) exact expressions for the mobility and electrophoretic mobility of a weakly charged spherical particle in an $1:1$ electrolyte solution. This is done by analytically solving the electro and hydrodynamic equations…

Soft Condensed Matter · Physics 2014-01-22 Ludvig Lizana , Alexander Y. Grosberg

Fluid flows hosting electrical phenomena make the subject of a fascinating and highly interdisciplinary scientific field. In recent years, the extraordinary success of electrospinning and solution blowing technologies for the generation of…

Fluid Dynamics · Physics 2023-04-24 Marco Lauricella , Sauro Succi , Eyal Zussman , Dario Pisignano , Alexander L. Yarin

The electrostatic potential profile of a spherical soft particle is derived by solving the Poisson-Boltzmann equations on a spherical system both numerically and analytically. The soft particle is assumed to consist of an ion-permeable…

Soft Condensed Matter · Physics 2015-06-18 Anh D. Phan , Dustin A. Tracy , T. L. Hoai Nguyen , N. A. Viet , The-Long Phan , Thanh H. Nguyen

We study a reaction-diffusion model posed on two distinct spatial scales that accounts for diffusion, aggregation, fragmentation, and deposition of populations of colloidal particles within a porous material. In this model, the macroscopic…

Analysis of PDEs · Mathematics 2026-04-14 Christos Nikolopoulos , Michael Eden , Adrian Muntean

A new computational method is presented for study suspensions of charged soft particles undergoing fluctuating hydrodynamic and electrostatic interactions. The proposed model is appropriate for polymers, proteins and porous particles…

Soft Condensed Matter · Physics 2015-04-14 Juan P. Hernandez-Ortiz , Juan J. de Pablo

Soft adhesive pads are needed for many robotics applications, and one approach is based on electroadhesion. Here we present a general analytic model and numerical results for electroadhesion for soft solids with arbitrary time-dependent…

Soft Condensed Matter · Physics 2019-08-06 Bo N. J. Persson , Jianglong Guo

We use a hydrodynamic reciprocal approach to phoretic motion to derive general expressions for the electrophoretic and thermophoretic mobility of weakly charged colloids in aqueous electrolyte solutions. Our approach shows that phoretic…

Soft Condensed Matter · Physics 2018-10-08 Jérôme Burelbach , Holger Stark
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