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Related papers: Electric double layer structure close to the three…

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We deduce the mixing-demixing phase diagram for binary liquid mixtures in an electric field for various electrode geometries and arbitrary constitutive relation for the dielectric constant. By focusing on the behavior of the liquid-liquid…

Soft Condensed Matter · Physics 2013-07-18 Jennifer Galanis , Yoav Tsori

The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this…

Classical Physics · Physics 2010-10-26 Xiangjun Xing

The effective barrier height between an electrode and a ferroelectric (FE) depends on both macroscopic electrical properties and microscopic chemical and electronic structure. The behavior of a prototypical electrode/FE/electrode structure,…

We analytically calculate the correlation potential of a test ion near a \emph{strongly} charged plate inside a dilute $m:-n$ electrolyte. We do this by calculating the electrostatic Green's function in the presence of a nonlinear…

Soft Condensed Matter · Physics 2014-03-19 Bing-Sui Lu , Xiangjun Xing

We propose a model intended to qualitatively capture the electron-electron interaction physics of two-dimensional electron gases formed near transition-metal oxide heterojunctions containing $t_{2g}$ electrons with a density much smaller…

Strongly Correlated Electrons · Physics 2016-01-27 John R. Tolsma , Alessandro Principi , Reza Asgari , Marco Polini , Allan H. MacDonald

Two overall neutral surfaces with positive and negative charged domains ("patches") have been shown in recent experiments to exhibit long-range attraction when immersed in an ionic solution. Motivated by the experiments, we calculate…

Soft Condensed Matter · Physics 2016-08-31 Ram M. Adar , David Andelman , Haim Diamant

We present an extension to the Poisson-Boltzmann model where the dipolar features of solvent molecules are taken explicitly into account. The formulation is derived at mean-field level and can be extended to any order in a systematic…

Soft Condensed Matter · Physics 2012-01-31 Ariel Abrashkin , David Andelman , Henri Orland

Double-layers (DLs) were observed in the expanding region of an inductively coupled plasma with $\text{Ar}/\text{SF}\_6$ gas mixtures. No DL was observed in pure argon or $\text{SF}\_6$ fractions below few percent. They exist over a wide…

Plasma Physics · Physics 2015-04-10 N. Plihon , C. S. Corr , P. Chabert

The equilibrium density profiles in a classical multicomponent plasma near a hard wall made with a dielectric material characterized by a relative dielectric constant $\ew$ are studied from the first Born-Green-Yvon equation combined with…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu

Supercell modelling of an electrical double layer (EDL) at electrified solid-electrolyte interfaces is a challenge. The net polarization of EDLs arising from the fixed chemical composition setup leads to uncompensated EDLs under periodic…

Soft Condensed Matter · Physics 2018-07-23 Chao Zhang

We consider a set of electrostatic problems relevant for determining the real-space structure and the ground-state energy of a two-dimensional electron liquid subject to smooth external potentials. Three fundamental geometries are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. M. Fogler

We solve the nonlinear Poisson-Boltzmann equation for two parallel and likely charged plates both inside a symmetric elecrolyte, and inside a 2 : 1 asymmetric electrolyte, in terms of Weierstrass elliptic functions. From these solutions we…

Classical Physics · Physics 2013-05-29 Xiangjun Xing

Using molecular dynamics simulations, we reveal emergent properties of hydrated electrode interfaces that while molecular in origin are integral to the behavior of the system across long times scales and large length scales. Specifically,…

Materials Science · Physics 2015-05-20 David T. Limmer , Adam P. Willard

An ideal conductor electrode in contact with a semi-infinite two-dimensional two-component plasma in an external potential is considered. The model is mapped onto an integrable sine-Gordon theory with Dirichlet boundary conditions. The…

Statistical Mechanics · Physics 2011-07-19 L. Šamaj , B. Jancovici

We report new experimental results on the generation and dynamics of multiple double layers in front of a positively biased electrode immersed in a DP-machine plasma. Depending on the geometry or the dimensions of the electrode, this…

We explore the effect of steric interaction on the ionic density distribution near a charged hard wall. For weakly charged walls, small particles, and monovalent ions the mean-field Poisson-Boltzmann equation provides an excellent…

Soft Condensed Matter · Physics 2015-06-05 Derek Frydel , Yan Levin

All solid state batteries are claimed to be the next-generation battery system, in view of their safety accompanied by high energy densities. A new advanced, multiscale compatible, and fully three dimensional model for solid electrolytes is…

Applied Physics · Physics 2022-03-15 L. Cabras , D. Danilov , W. Subber , V. Oancea , A. Salvadori

Computer simulations of contact melting and associated interfacial phenomena in binary eutectic systems were performed on the basis of the standard phase-field model with miscibility gap in solid state. It is shown that the model predicts…

Materials Science · Physics 2014-09-05 Oleksiy Bystrenko , Valeriy Kartuzov

We consider fluid adsorption near a rectangular edge of a solid substrate that interacts with the fluid atoms via long range (dispersion) forces. The curved geometry of the liquid-vapour interface dictates that the local height of the…

Statistical Mechanics · Physics 2014-06-20 Alexandr Malijevsky

The structure factor for electric field correlations in the two dimensional Coulomb fluid is simulated and compared to theories of the dielectric function. Singular changes in the structure factor occur at the BKT insulator to conductor…

Statistical Mechanics · Physics 2021-06-21 Callum Gray , Steven T. Bramwell , Peter C. W. Holdsworth