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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…

Soft Condensed Matter · Physics 2009-11-10 Martin Z. Bazant , Katsuyo Thornton , Armand Ajdari

We study the phase behavior of diblock copolymers in presence of an external electric field. We employ self-consistent field theory and treat the relevant Maxwell equation as an additional self-consistent equation. Because we do not treat…

Soft Condensed Matter · Physics 2008-06-23 Chin-Yet Lin , Michael Schick , David Andelman

The transport of polyelectrolytes confined by oppositely charged surfaces and driven by a constant electric field is of interest in studies of DNA separation according to size. Using molecular dynamics simulations that include surface…

Soft Condensed Matter · Physics 2020-09-15 Debarshee Bagchi , Monica Olvera de la Cruz

Analytical solutions of the Schr\"{o}dinger equation for the one-dimensional quantum well with all possible permutations of the Dirichlet and Neumann boundary conditions (BCs) in perpendicular to the interfaces uniform electric field…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 O. Olendski

Experimental studies of the variation of the mean square displacement (MSD) of a particle in a confined colloid suspension that exhibits density variations on the scale length of the particle diameter are not in agreement with the…

Soft Condensed Matter · Physics 2018-06-13 Molly Wolfson , Christopher Liepold , Binhua Lin , Stuart A. Rice

We study the electrophoretic flow of suspensions of charged colloids with a mesoscopic method that allows to model generic experimental conditions. We show that for highly charged colloids their electrophoretic mobility increases…

Soft Condensed Matter · Physics 2015-05-28 Giovanni Giupponi , Ignacio Pagonabarraga

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 organization of water molecules and ions between charged mineral surfaces determines the stability of colloidal suspensions and the strength of phase-separated particulate gels. In this article we assemble a density functional that…

Soft Condensed Matter · Physics 2024-05-15 Thomas Petersen

In the present work, we study an electrolyte solution confined between planar surfaces with nonopatterned charged domains, which has been connected to a bulk ionic reservoir. The system is investigated through an improved Monte Carlo (MC)…

Soft Condensed Matter · Physics 2020-09-29 Amin Bakhshandeh , Maximiliano Segala , Thiago Colla

We study charge transport in a monolayer molybdenum disulfide nanoflake over a wide range of carrier density, temperature, and electric bias. We find that the transport is best described by a percolating picture in which the disorder breaks…

Disordered Systems and Neural Networks · Physics 2014-09-02 Shun-Tsung Lo , O. Klochan , C. -H. Liu , W. -H. Wang , A. R. Hamilton , C. -T. Liang

Electric double layers (EDL) with counterions only, say electrons with the elementary charge $-e$, in thermal equilibrium at the inverse temperature $\beta$ are considered. In particular, we study the effect of the surface charge modulation…

Statistical Mechanics · Physics 2022-07-26 Ladislav Šamaj

The Debye-Falkenhagen differential equation is commonly used as a mean-field macroscopic model for describing electrochemical ionic drift and diffusion in dilute binary electrolytes when subjected to a suddenly applied potential smaller…

Classical Physics · Physics 2023-08-02 Anis Allagui , Georgii Paradezhenko , Anastasiia Pervishko , Dmitry Yudin , Hachemi Benaoum

Asymmetrically charged, nonspherical colloidal particles in general perform complex rotations and oblique motions under an electric field. The interplay of electrostatic and hydrodynamic forces complicate the prediction of these motions. We…

Soft Condensed Matter · Physics 2020-07-01 Lara Braverman , Aaron Mowitz , Thomas A. Witten

Nonlinear field dependence of electrophoresis in high fields has been investigated theoretically, yet experimental studies have failed to reach consensus on the effect. In this work, we present a systematic study on the nonlinear…

Soft Condensed Matter · Physics 2019-07-10 Soichiro Tottori , Karolis Misiunas , Ulrich F. Keyser , Douwe Jan Bonthuis

Based on the superposition of incremental frictional surface tractions that, in the case of an incompressible elastic half-space, correspond to a rigid tangential translation of a circular contact domain, the stress and displacement fields…

Soft Condensed Matter · Physics 2024-10-29 Emanuel Willert

Large deformations of soft elastic beads spinning at high angular velocity in a denser background fluid are investigated theoretically, numerically, and experimentally using millimeter-size polyacrylamide hydrogel particles introduced in a…

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 obtain exact analytic expressions for (i) the electromagnetic energy radial density within and outside a multilayered sphere and (ii) the total electromagnetic energy stored within its core and each of its shells. Explicit expressions…

Optics · Physics 2019-09-20 Ilia L. Rasskazov , Alexander Moroz , P. Scott Carney

In all theoretical treatments of electron transport through single molecules between two metal electrodes, a clear distinction has to be made between a coherent transport regime with a strong coupling throughout the junction and a Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Robert Stadler , Jerome Cornil , Victor Geskin

The one dimensional (1D) driven quantum coupled pseudoforce system governing the dynamics of collective Langmuir electron oscillations is used in order to investigate the effects of variety of space charge distributions on plasmon…

Plasma Physics · Physics 2019-03-27 M. Akbari-Moghanjoughi