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Periodic configurations of electrodes, in particular of microelectrodes, have been of interest since the advent of microfabrication. In this report, theory which is common to any periodic cell (or any cell that can be extended periodically)…

化学物理 · 物理学 2018-02-13 Cristian F. Guajardo Yévenes , Werasak Surareungchai

We reformulate and extend porous electrode theory for non-ideal active materials, including those capable of phase transformations. Using principles of non-equilibrium thermodynamics, we relate the cell voltage, ionic fluxes, and Faradaic…

化学物理 · 物理学 2012-08-24 Todd R. Ferguson , Martin Z. Bazant

Traveling wave charges lying on the insulating walls of an electrolyte-filled capillary, give rise to oscillatory modes which vanish when averaged over the period of oscillation. They also give rise to a \emph{zero mode} (a unidirectional,…

流体动力学 · 物理学 2026-02-02 A. Shrestha , E. Kirkinis , M. Olvera de la Cruz

We investigate sedimentation of model hard sphere-like colloidal dispersions confined in horizontal capillaries using laser scanning confocal microscopy, dynamical density functional theory, and Brownian dynamics computer simulations. For…

软凝聚态物质 · 物理学 2009-11-13 C. Patrick Royall , Joachim Dzubiella , Matthias Schmidt , Alfons van Blaaderen

The transient electric current of surfactants dissolved in a nonpolar solvent is investigated both experimentally and theoretically in the parallel-plate geometry. Due to a low concentration of free charges the cell can be completely…

软凝聚态物质 · 物理学 2015-05-30 Pavel Kornilovitch , Yoocharn Jeon

We describe the evolution of a paraxial electromagnetic wave characterizing by a non-uniform polarization distribution with singularities and propagating in a weakly anisotropic medium. Our approach is based on the Stokes vector evolution…

光学 · 物理学 2009-11-13 K. Yu. Bliokh , A. Niv , V. Kleiner , E. Hasman

We prove existence of global weak solutions for the Nernst-Planck-Poisson problem which describes the evolution of concentrations of charged species $X_1, ..., X_P$ subject to Fickian diffusion and chemical reactions in the presence of an…

偏微分方程分析 · 数学 2016-04-01 Dieter Bothe , André Fischer , Michel Pierre , Guillaume Rolland

Electron evaporation plays an important role in the electron temperature evolution and thus expansion rate in low-density ultracold plasmas. In addition, evaporation is useful as a potential tool for obtaining colder electron temperatures…

等离子体物理 · 物理学 2017-06-07 Craig Witte , Jacob L. Roberts

This work presents a detailed study of the dispersion of capillary waves with small amplitude in viscous fluids using an analytically derived solution to the initial value problem of a small-amplitude capillary wave as well as direct…

流体动力学 · 物理学 2016-09-01 Fabian Denner

The response of a model micro-electrochemical system to a time-dependent applied voltage is analyzed. The article begins with a fresh historical review including electrochemistry, colloidal science, and microfluidics. The model problem…

软凝聚态物质 · 物理学 2009-11-10 Martin Z. Bazant , Katsuyo Thornton , Armand Ajdari

In gas evolving electrolysis, bubbles grow at electrodes due to a diffusive influx from oversaturation generated locally in the electrolyte by the electrode reaction. When considering electrodes of micrometer-size resembling catalytic…

流体动力学 · 物理学 2024-11-11 Mengyuan Huang , Chao Sun , Kerstin Eckert , Xianren Zhang , Gerd Mutschke

This work is devoted to prove existence of global weak solutions for a general isothermal model of capillary fluids derived by J.- E Dunn and J. Serrin (1985) [6], which can be used as a phase transition model. We improve the results of [5]…

偏微分方程分析 · 数学 2015-05-13 Boris Haspot

The Buckley-Leverett equation for two phase flow in a porous medium is modified by including a dependence of capillary pressure on the rate of change of saturation. This model, due to Gray and Hassanizadeh, results in a nonlinear…

偏微分方程分析 · 数学 2011-09-06 K. Spayd , M. Shearer

A system modeling the electrophoretic motion of a charged rigid macromolecule immersed in a incompressible ionized fluid is considered. The ionic concentration is governing by the Nernst-Planck equation coupled with the Poisson equation for…

偏微分方程分析 · 数学 2014-02-20 Luciano Bedin , Mark Thompson

A Boltzmann equation, used to describe the evolution of the density function of a gas of photons interacting by Compton scattering with electrons at low density and non relativistic equilibrium, is considered. A truncation of the very…

偏微分方程分析 · 数学 2019-05-22 E. Cortés , M. Escobedo

Numerical simulations are a powerful tool for the development and improvement of Li-ion batteries. Modeling the mass transport of the involved electrolytic solutions requires precise determination of the corresponding electrolyte…

化学物理 · 物理学 2024-11-21 Lukas Lehnert , Maryam Nojabaee , Arnulf Latz , Birger Horstmann

The migration of liquids in porous media, such as sand, has been commonly considered at high saturation levels with liquid pathways at pore dimensions. In this letter we reveal a low saturation regime observed in our experiments with…

流体动力学 · 物理学 2013-10-31 A. V. Lukyanov , M. M. Sushchikh , M. J. Baines , T. G. Theofanous

Porous electrodes{made of hierarchically nanostructured materials{are omnipresent in various electrochemical energy technologies from batteries and supercapacitors to sensors and electrocatalysis. Modeling the system-level macroscopic…

应用物理 · 物理学 2022-02-03 Anis Allagui , Hachemi Benaoum

To better understanding the principal features of collisionless damping/growing plasma waves we have implemented a demonstrative calculation for the simplest cases of electron waves in two-stream plasmas with the delta-function type…

等离子体物理 · 物理学 2007-08-07 V. N. Soshnikov

Electrophoresis is the motion of particles relative to a surrounding fluid driven by a uniform electric field. In conventional electrophoresis, the electrophoretic velocity grows linearly with the applied field. Nonlinear effects with a…

软凝聚态物质 · 物理学 2024-03-19 Mojtaba Rajabi , Taras Turiv , Bing-Xiang Li , Hend Baza , Dmitry Golovaty , Oleg D. Lavrentovich