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The classical theory of electrokinetic phenomena assumes a dilute solution of point-like ions in chemical equilibrium with a surface whose double-layer voltage is of order the thermal voltage, $k_BT/e = 25$ mV. In nonlinear…

Other Condensed Matter · Physics 2007-05-23 Martin Z. Bazant , Mustafa Sabri Kilic , Brian D. Storey , Armand Ajdari

We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorporates nonlinear effects, formulated as a perturbation of the…

Numerical Analysis · Mathematics 2026-04-28 Andrea Bonito , Vivette Girault , Diane Guignard

It has been experimentally observed that weakly conducting suspended films of smectic liquid crystals undergo electroconvection when subjected to a large enough potential difference. The resulting counter-rotating vortices form a very…

patt-sol · Physics 2009-10-30 V. B. Deyirmenjian , Zahir A. Daya , Stephen W. Morris

The microscopic and fundamental origin of slide electrification, where droplets of water move across insulating surfaces accumulating and depositing electrical charges, is still debated. Charge transfer is often attributed to ion transfer…

Soft Condensed Matter · Physics 2026-04-30 Rutvik Lathia , Benjamin Leibauer , Aaron D. Ratschow , Werner Steffen , Hans-Jürgen Butt

We show that when particles are suspended in an electrolyte confined between corrugated charged surfaces, electrokinetic flows lead to a new set of phenomena such as particle separation, mixing for low-Reynolds micro- and nano-metric…

Soft Condensed Matter · Physics 2015-06-22 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

The dynamics of thin films on a horizontal solid substrate is investigated in the case of non-Newtonian fluids exhibiting normal stress differences, the rheology of which is strongly non-linear. Two coupled equations of evolution for the…

Fluid Dynamics · Physics 2015-06-26 Arezki Boudaoud

We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolution proceeds via diffusive motion of the orientational…

Mathematical Physics · Physics 2014-03-04 Ibrahim Fatkullin , Valeriy Slastikov

We consider the orientational instabilities, both homogeneous and spatially periodic, developing in a nematic liquid crystal under rectilinear oscillatory Couette flow for director alignment perpendicular to the flow plane. Using numerical…

Soft Condensed Matter · Physics 2007-05-23 O. S. Tarasov , A. P. Krekhov , L. Kramer

Solid-state ionic conduction is a key enabler of electrochemical energy storage and conversion. The mechanistic connections between material processing, defect chemistry, transport dynamics, and practical performance are of considerable…

Materials Science · Physics 2022-08-04 Andrey D. Poletayev , James A. Dawson , M. Saiful Islam , Aaron M. Lindenberg

Drag and diffusion of mobile ions in solids are of interest for both purely theoretical and applied scientific communities. This article proposes a theoretical description of ion drag in solids that can be used to estimate ionic…

Mesoscale and Nanoscale Physics · Physics 2022-06-24 Aleksandr Rodin , Keian Noori , Alexandra Carvalho , Antonio Helio Castro Neto

We introduce a model for ionic electrodiffusion and osmotic water flow through cells and tissues. The model consists of a system of partial differential equations for ionic concentration and fluid flow with interface conditions at deforming…

Cell Behavior · Quantitative Biology 2017-08-23 Yoichiro Mori , Chun Liu , Robert S. Eisenberg

The theory of electrokinetic ion transport in cylindrical channels of a fixed surface charge density is revisited. Attention is focused on impact of the hydrophobic slippage and mobility of adsorbed surface charges. We formulate generalised…

Soft Condensed Matter · Physics 2022-12-14 Olga I. Vinogradova , Elena F. Silkina , Evgeny S. Asmolov

We examine nonlinear transport in a viscous two-dimensional electron fluid within narrow GaAs channels. The differential magnetoresistance shows nonmonotonic behavior, a signature of electron pairing in the hydrodynamic regime. Theoretical…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 A. D. Levin , G. M. Gusev , A. K. Bakarov

We observe novel positional control of a colloidal particle in microchannel flow of a nematic liquid crystal. Lattice Boltzmann simulations show multiple equilibrium particle positions, the existence and position of which are tunable using…

Soft Condensed Matter · Physics 2022-09-26 Magdalena Lesniewska , Nigel Mottram , Oliver Henrich

When a nematic liquid crystal is confined in a porous medium with strong anchoring conditions, topological defects, called disclinations, are stably formed with numerous possible configurations. Since the energy barriers between them are…

Soft Condensed Matter · Physics 2015-06-12 Takeaki Araki

We study all the possibilities of producing rotating flow in an incompressible fluid by electric and magnetic fields. We start with a general theoretical basis and look for different configurations and set-ups which electric/magnetic field…

Fluid Dynamics · Physics 2013-03-25 A. Amjadi , A. Nejati , S. O. Sobhani , R. Shirsavar

Consideration is given to the effects of inhomogeneous shear flow (both regular and chaotic) on nematic liquid crystals in a planar geometry. The Landau--de Gennes equation coupled to an externally-prescribed flow field is the basis for the…

Fluid Dynamics · Physics 2017-07-20 Lennon O'Naraigh

Dynamics of small particles, both living such as swimming bacteria and inanimate, such as colloidal spheres, has fascinated scientists for centuries. If one could learn how to control and streamline their chaotic motion, that would open…

Soft Condensed Matter · Physics 2023-02-08 Oleg D. Lavrentovich

The use of ultra-thin, i.e., monolayer films plays an important role for the emerging field of nano-fluidics. Since the dynamics of such films is governed by the interplay between substrate-fluid and fluid-fluid interactions, the transport…

Other Condensed Matter · Physics 2009-11-11 M. N. Popescu , S. Dietrich , G. Oshanin

Hypothesis:Diffusion in confinement is an important fundamental problem with significant implications for applications of supported liquid phases. However, resolving the spatially dependent diffusion coefficient, parallel and perpendicular…

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