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In this paper, two-dimensional periodic capillary-gravity waves travelling under the effect of a vertical electric field are considered. The full system is a nonlinear, two-layered and free boundary problem. The interface dynamics arises…

Analysis of PDEs · Mathematics 2024-04-08 Dai Guowei , Xu Fei , Zhang Yong

In this thesis, the electrostatic interaction between two chemically identical colloids, both carrying constant surface potential is studied in the limit of short inter-particle separation at the interface of two immiscible fluids. Using an…

Soft Condensed Matter · Physics 2020-01-01 Rick Bebon

Charged surfaces in contact with liquids containing ions are accompanied in equilibrium by an electric double layer consisting of a layer of electric charge on the surface that is screened by a diffuse ion cloud in the bulk fluid. This…

Soft Condensed Matter · Physics 2018-09-21 Jeffrey C. Everts , Miha Ravnik

The usual approach to the development of new nonlinear dielectric materials focuses on the search for materials in which the components possess an inherently large nonlinear dielectric response. In contrast, based on thermodynamics, we have…

Materials Science · Physics 2009-11-10 J. P. Huang

The effect of an axial temperature gradient on the flow profile and the induced streaming potential of a pressure-driven symmetric electrolyte in a slit channel is investigated. Based on the non-isothermal Nernst-Planck equations as well as…

Fluid Dynamics · Physics 2020-06-26 Mathias Dietzel , Steffen Hardt

Long-range ion induced water-water correlations were recently observed in femtosecond elastic second harmonic scattering experiments of electrolyte solutions. To further the qualitative understanding of these correlations, we derive an…

Statistical Mechanics · Physics 2017-09-06 David M. Wilkins , David E. Manolopoulos , Sylvie Roke , Michele Ceriotti

A wide spectrum of electrokinetic studies is modelled as isothermal ones to expedite analysis even when such conditions may be extremely difficult to realize in practice. As a clear and novel departure from this trend, we address the case…

Fluid Dynamics · Physics 2016-04-27 Tanmay Ghonge , Jeevanjyoti Chakraborty , Ranabir Dey , Suman Chakraborty

Nonlinear dynamics of the free surface of an ideal incompressible non-conducting fluid with high dielectric constant subjected by strong horizontal electric field is simulated on the base of the method of conformal transformations. It is…

Fluid Dynamics · Physics 2018-04-04 Evgeny A. Kochurin

We derive a self-consistent hydrodynamic theory of coupled binary-fluid-surfactant systems from the underlying microscopic physics using Rayleigh's variational principle. At the microscopic level, surfactant molecules are modelled as…

Soft Condensed Matter · Physics 2026-02-25 Alexandra J. Hardy , Samuel Cameron , Steven McDonald , Abdallah Daddi-Moussa-Ider , Elsen Tjhung

Electrostatics in the solution phase is governed by free electrical charges such as ions, as well as by bound charges that arise when a polarizable medium responds to an applied field. In a local medium, described by a constant dielectric…

Soft Condensed Matter · Physics 2025-02-04 Ali Behjatian , Ralf Blossey , Madhavi Krishnan

The behavior of a conductive membrane in a static (DC) electric field is investigated theoretically. An effective zero-thickness model is constructed based on a Robin-type boundary condition for the electric potential at the membrane,…

Soft Condensed Matter · Physics 2015-05-14 Falko Ziebert , Martin Z. Bazant , David Lacoste

Asymmetric valences in a binary electrolyte can significantly affect the performance of systems such as reverse electrodialysis cells, batteries, and supercapacitors. To generate a theoretical understanding of this effect, we consider a…

Chemical Physics · Physics 2026-05-05 Georgina C. Ryan , Mohit P. Dalwadi , Ian M. Griffiths

A dielectric drop suspended in conducting liquid and subjected to an uniform electric field deforms into an ellipsoid whose major axis is either perpendicular or tilted (due to Quincke rotation effect) relative to the applied field. We…

Fluid Dynamics · Physics 2015-05-14 Malika Ouriemi , Petia M. Vlahovska

We present a numerical study of polyelectrolytes electrophoresing in free solution while squeezed by an axisymmetric confinement force transverse to their net displacement. Hybrid multi-particle collision dynamics and molecular dynamics…

Soft Condensed Matter · Physics 2016-06-22 Tyler N. Shendruk , Martin Bertrand , Gary W. Slater

In this study we consider the problem of the interface motion under the capillary-gravity and an external electric forces. The infinitely deep fluid layer is assumed to be viscous, perfectly conducting and the flow to be incompressible. The…

Fluid Dynamics · Physics 2020-02-20 Matthew Hunt , Denys Dutykh

The electro-hydrodynamics near conducting walls is revisited. Attention is focused on the impact of an explicit diffuse Stern layer, which permittivity and viscosity differ from the bulk values, on the velocity of an electro-osmotic plug…

Fluid Dynamics · Physics 2025-08-12 Evgeny S. Asmolov , Elena F. Silkina , Olga I. Vinogradova

We investigate active electrolytes within the mean-field level of description. The focus is on how the double-layer structure of passive, thermalized charges is affected by active dynamics of all constituting ions. One feature of active…

Soft Condensed Matter · Physics 2018-05-23 Derek Frydel , Rudolf Podgornik

An inhomogeneous electric field is used to study the deflection of a supersonic beam of water molecules. The deflection profiles show strong broadening accompanied by a small net displacement towards higher electric fields. The profiles are…

Chemical Physics · Physics 2009-11-13 Ramiro Moro , Jaap Bulthuis , Jonathon Heinrich , Vitaly V. Kresin

Using the very basic physics principles, we have studied the implications of quantum corrections to classical electrodynamics and the propagation of electromagnetic waves and pulses. The initial nonlinear wave equation for the…

Plasma Physics · Physics 2023-05-30 Stephan I. Tzenov , Klaus M. Spohr , Kazuo A. Tanaka

This modeling work investigates the electrical modulation characteristics of field-effect gated nanopores. Highly nonlinear current modulations are observed in nanopores with non-overlapping electric double layers, including those with pore…

Mesoscale and Nanoscale Physics · Physics 2010-10-07 Yang Liu , David E. Huber , Vincent Tabard-Cossa , Robert W. Dutton
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