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We present a study of the structure and differential capacitance of electric double layers of aqueous electrolytes. We consider Electric Double Layer Capacitors (EDLC) composed of spherical cations and anions in a dielectric continuum…

Soft Condensed Matter · Physics 2021-07-21 Peter Cats , Ranisha S. Sitlapersad , Wouter K. den Otter , Anthony R. Thornton , René van Roij

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

Soft Condensed Matter · Physics 2017-10-17 Timo Schmetzer

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

We analyze the simplest problem of electrochemical relaxation in more than one dimension - the response of an uncharged, ideally polarizable metallic sphere (or cylinder) in a symmetric, binary electrolyte to a uniform electric field. In…

Materials Science · Physics 2009-11-11 Kevin T. Chu , Martin Z. Bazant

Anisotropic colloidal particles constitute an important class of building blocks for self-assembly directed by electrical fields. The aggregation of these building blocks is driven by induced dipole moments, which arise from an interplay…

Soft Condensed Matter · Physics 2018-09-10 Ming Han , Huanxin Wu , Erik Luijten

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

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

Understanding the dynamics of electric-double-layer (EDL) charging in porous media is essential for advancements in next-generation energy storage devices. Due to the high computational demands of direct numerical simulations and a lack of…

Chemical Physics · Physics 2023-09-04 Filipe Henrique , Pawel J. Zuk , Ankur Gupta

We develop an efficient Ewald method of molecular dynamics simulation for calculating the electrostatic interactions among charged and polar particles between parallel metallic plates, where we may apply an electric field with an arbitrary…

Soft Condensed Matter · Physics 2013-10-01 Kyohei Takae , Akira Onuki

A quasi-two-dimensional (Q2D) electron liquid (EL) is formed at the interface of a semiconductor heterojunction. For an accurate characterization of the Q2D EL, many-body effects need to be taken into account beyond the random phase…

Condensed Matter · Physics 2009-10-28 C. Bulutay , M. Tomak

A diffuse interface (phase field) model for an electrochemical system is developed. We describe the minimal set of components needed to model an electrochemical interface and present a variational derivation of the governing equations. With…

Materials Science · Physics 2007-05-23 J. E. Guyer , W. J. Boettinger , J. A. Warren , G. B. McFadden

The electrostatic interaction between two non-identical, moderately charged colloids situated in close proximity of each other at a fluid interface is studied. By resorting to a well-justified model system, this problem is analytically…

Soft Condensed Matter · Physics 2018-04-30 Arghya Majee , Timo Schmetzer , Markus Bier

For a collisionless plasma in contact with a dielectric surface, where with unit probability electrons and ions are, respectively, absorbed and neutralized, thereby injecting electrons and holes into the conduction and valence band, we…

Plasma Physics · Physics 2020-08-19 K. Rasek , F. X. Bronold , H. Fehske

Based on the extended optical model approach in which the polarization potential is decomposed into direct reaction (DR) and fusion parts, simultaneous $\chi^{2}$ analyses are performed for elastic scattering and fusion cross section data…

Nuclear Theory · Physics 2009-11-11 W. Y. So , T. Udagawa , K. S. Kim , S. W. Hong , B. T. Kim

We study the effect of electron-electron interaction on a two dimensional (2D) disordered lattice. For the case of two electrons the analytical estimates are presented showing a transition from localized to delocalized states in a way…

Condensed Matter · Physics 2017-09-27 Dima L. Shepelyansky , Pil Hun Song

The Poisson-Boltzmann equation for a strongly charged plate inside a generic charge-asymmetric electrolyte is solved using the method of asymptotic matching. Both near field and far field asymptotic behaviors of the potential are…

Soft Condensed Matter · Physics 2015-06-05 Ming Han , Xiangjun Xing

Cellular electrophysiology is often modeled using the cable equations. The cable model can only be used when ionic concentration effects and three dimensional geometry effects are negligible. The Poisson model, in which the electrostatic…

Neurons and Cognition · Quantitative Biology 2009-01-27 Yoichiro Mori

The electric double layer (EDL) governs electrocatalysis, energy conversion, and storage, yet its atomic structure, capacitance, and reactivity remain elusive. Here we introduce a machine learning interatomic potential framework that…

Chemical Physics · Physics 2025-09-18 Xiaoyu Wang , Junmin Chen , Zezhu Zeng , Frederick Stein , Junho Lim , Bingqing Cheng

A model is developed for describing the transport of charged colloidal particles in an evaporating sessile droplet on the electrified metal substrate in the presence of a solvent flow. The model takes into account the electric charge of…

Soft Condensed Matter · Physics 2022-03-16 Semen V. Zavarzin , Andrei L. Kolesnikov , Yury A. Budkov , Lev Yu. Barash

The charge distribution at the interface between two electrolytes is studied for the case of non-vanishing ion fluxes. The analysis is an extension of the established Verwey-Niessen theory to non-equilibrium situations. Applying matched…

Soft Condensed Matter · Physics 2011-05-03 Steffen Hardt , Tobias Baier