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Density functional theory is used to describe electrolyte solutions in contact with electrodes of planar or spherical shape. For the electrolyte solutions we consider the so-called civilized model, in which all species present are treated…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $\sigma$ and the ionic…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

We present a minimal model to analyze the capacitive response of a biological membrane subjected to a step voltage via blocking electrodes. Through a perturbative analysis of the underlying electrolyte transport equations, we show that the…

Soft Condensed Matter · Physics 2025-03-07 Jafar Farhadi , Joshua B. Fernandes , Karthik Shekhar , Kranthi K. Mandadapu

Understanding the electrodes' surface morphology influence on the ions' distribution is essential for designing the supercapacitors with enhanced energy density characteristics. We develop a model for the structure of electrolytes near the…

Statistical Mechanics · Physics 2021-06-30 Timur Aslyamov , Konstantin Sinkov , Iskander Akhatov

To improve the understanding of the relation between electrode curvature and energy storage mechanisms, a systematic investigation of the correlation between convex and concave electrode surfaces and the differential capacitance of an…

Computational Physics · Physics 2020-03-04 Jannes Seebeck , Peter Schiffels , Sabine Schweizer , Jörg-Rüdiger Hill , Robert Horst Meißner

Understanding the electrical double layer (EDL), i.e, the distribution of electrolyte at an electrified interface, in concentrated electrolytes is important for various technologies, such as supercapacitors, batteries and electrocatalysis.…

Soft Condensed Matter · Physics 2026-05-01 Zachary A. H. Goodwin

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 response of a model micro-electrochemical cell to a large ac voltage of frequency comparable to the inverse cell relaxation time. To bring out the basic physics, we consider the simplest possible model of a symmetric binary…

Fluid Dynamics · Physics 2013-12-12 Laurits H. Olesen , Martin Z. Bazant , Henrik Bruus

A phenomenological theory of electric double layer polarization of blocking electrode is presented solving modified Debye-Falkenhagen (MDF) equation for potential, under the impedance boundary condition. The dynamic impedance and…

Materials Science · Physics 2011-03-04 Maibam Birla Singh , Rama Kant

The interfacial nature of the electric double layer (EDL) assumes that electrode surface morphology significantly impacts the EDL properties. Since molecular-scale roughness modifies the structure of EDL, it is expected to disturb the…

Chemical Physics · Physics 2024-02-09 Irina Nesterova , Aleksey Khlyupin , Nikolay Evstigneev , Oleg Ryabkov , Kirill M. Gerke

A transient analysis for vesicle deformation under DC electric fields is developed. The theory extends from a droplet model, with the additional consideration of a lipid membrane separating two fluids of arbitrary properties. For the…

Biological Physics · Physics 2015-06-12 Jia Zhang , Jeffery D. Zahn , Wenchang Tan , Hao Lin

Modelling electrolytes accurately on both a nanoscale and cell level can contribute to improving battery chemistries.[Armand and Tarascon, Nature, 2008, 451, 652-657] We previously presented a thermodynamic continuum model for…

Chemical Physics · Physics 2024-08-09 Constantin Schwetlick , Max Schammer , Arnulf Latz , Birger Horstmann

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

Strongly Correlated Electrons · Physics 2009-11-07 G. S. Atwal , N. W. Ashcroft

We report measurements on the dynamics of the Debye layer at a gold electrode in several electrolytes. In the experiments, the Debye layer transmits a damped voltage wave along the electrode, which we use to probe the dynamics. We compare…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Thanh-Tri Châu , Giovanni Zocchi

Electrode surface roughness significantly impacts the structure of electric double layer on a molecular scale. We derive analytical solutions for differential capacitance (DC) of electric double layer near rough electrode surface, comparing…

Chemical Physics · Physics 2023-03-07 Aleksey Khlyupin , Irina Nesterova , Kirill Gerke

According to classical electrolyte theories interactions in dilute (low ion density) electrolytes decay exponentially with distance, with the Debye screening length the characteristic length-scale. This decay length decreases monotonically…

Soft Condensed Matter · Physics 2016-07-15 Alexander M. Smith , Alpha A. Lee , Susan Perkin

Grand canonical Monte Carlo simulation results are reported for an electric double layer modelled by a planar charged hard wall, anisotropic shape cations, and spherical anions at different electrolyte concentrations and asymmetric…

Soft Condensed Matter · Physics 2016-03-09 M. Kaja , S. Lamperski , W. Silvestre-Alcantara , L. B. Bhuiyan , D. Henderson

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…

Applied Physics · Physics 2022-02-03 Anis Allagui , Hachemi Benaoum

We formulate a general mean-field theory of a flat electric double layer in ionic liquids and electrolyte solutions with ions possessing static polarizability and a permanent dipole moment on a charged electrode. We establish a new…

Statistical Mechanics · Physics 2021-08-17 Yu. A. Budkov , S. V. Zavarzin , A. L. Kolesnikov

We study the low-frequency dielectric response of highly charged spheres arranged in a cubic lattice and immersed in an electrolyte solution. We focus on the influence of the out-of-phase current in the regime where the ionic charge is…

Soft Condensed Matter · Physics 2019-03-27 Chang-Yu Hou , Jiang Qian , Denise E. Freed
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