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The capacitance of the electric double layer has potential applications in supercapacitors, and theoretical investigations of the double-layer capacitance in binary mixtures are important. In this work, we develop the theory of the electric…

Chemical Physics · Physics 2025-09-01 Yuki Uematsu

Using molecular dynamics simulations with recently developed importance sampling methods, we show that the differential capacitance of a model ionic liquid based double-layer capacitor exhibits an anomalous dependence on the applied…

A parallel plate capacitor containing an electrolytic solution is the simplest model of a supercapacitor, or electric double layer capacitor. Using both analytical and numerical techniques, we solve the Poisson-Nernst-Planck equations for…

Soft Condensed Matter · Physics 2025-10-02 Ivan Palaia , Adelchi J. Asta , Megh Dutta , Patrick B. Warren , Benjamin Rotenberg , Emmanuel Trizac

The many-body ground state of a two-dimensional electron system can be tuned by Coulomb engineering through control of the dielectric environment. However, in conventional dielectrics the static permittivity is restricted to positive…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Aravindh Shankar , Pramey Upadhyaya , Supriyo Datta

We study the electric double layer by combining the effects of ion finite size and dielectric decrement. At high surface potential, both mechanisms can cause saturation of the counter-ion concentration near a charged surface. The modified…

Soft Condensed Matter · Physics 2015-03-31 Yasuya Nakayama , David Andelman

Impressive progress in the control of atomically thin crystals is now enabling the realization of gated structures in which two electrodes are separated by atomic scale distances. The electrical capacitance of these structures is determined…

Mesoscale and Nanoscale Physics · Physics 2021-10-18 Christophe Berthod , Haijing Zhang , Alberto F. Morpurgo , Thierry Giamarchi

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

The so-called negative electron compressibility refers to the lowering of the chemical potential of a metallic system when the carrier density increases. This effect has often been invoked in the past to explain the enhancement of the…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Javier Junquera , Pablo García-Fernández , Massimiliano Stengel

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

Nontrivial capacitance behavior, including a negative capacitance (NC) effect, observed in a variety of semiconductor devices, is discussed emphasizing the physical mechanism and the theoretical interpretation of experimental data. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Ershov , H. C. Liu , L. Li , M. Buchanan , Z. R. Wasilewski , A. K. Jonscher

Mean-field theories claim that the capacitance of the double-layer formed at a metal/ionic conductor interface cannot be larger than that of the Helmholtz capacitor, whose width is equal to the radius of an ion. However, in some experiments…

Soft Condensed Matter · Physics 2015-03-17 M. S. Loth , Brian Skinner , B. I. Shklovskii

Electric double layer supercapacitors are a fast-rising class of high-power energy storage devices based on porous electrodes immersed in a concentrated electrolyte or ionic liquid. As of yet there is no microscopic theory to describe their…

Materials Science · Physics 2015-03-17 Brian Skinner , Tianran Chen , M. S. Loth , B. I. Shklovskii

We use molecular dynamics simulations in a constant potential ensemble to study the effects of solution composition on the electrochemical response of a double layer capacitor. We find that the capacitance first increases with ion…

Chemical Physics · Physics 2016-06-07 Betul Uralcan , Ilhan A. Aksay , Pablo G. Debenedetti , David T. Limmer

We show that the negative electronic compressibility of two-dimensional electronic systems at sufficiently low density enables the generation of charge density waves through the application of a uniform force field, provided no current is…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Erica E. Hroblak , Alessandro Principi , Hui Zhao , Giovanni Vignale

We consider equilibrium statistical mechanics of a simplified model for the ideal conductor electrode in an interface contact with a classical semi-infinite electrolyte, modeled by the two-dimensional Coulomb gas of pointlike $\pm$ unit…

Statistical Mechanics · Physics 2009-11-11 L. Samaj , Z. Bajnok

The Bragg-Williams free energy is used to incorporate nearest-neighbor interactions into the lattice gas model of a solvent-free ionic liquid near a planar electrode. We calculate the differential capacitance from solutions of the…

Chemical Physics · Physics 2018-12-04 Rachel Downing , Bjorn K. Berntson , Guilherme V. Bossa , Sylvio May

Supercapacitors, S-C - capacitors that take advantage of the large capacitance at the interface between an electrode and an electrolyte - have found many short-term energy applications. We concentrate here on optically induced, electrical…

Mesoscale and Nanoscale Physics · Physics 2021-03-30 H. Grebel

Understanding the system-level spectral immittance response of capacitive energy storage devices with analytically tractable physics-based models is not only important for the progress of the technology, but also allows to develop new…

Applied Physics · Physics 2022-02-22 Anis Allagui , Hachemi Benaoum , Hichem Eleuch , Chunlei Wang

We use a classical, microscopic model of point-like dipolarizable entities (a model that is standard in the case of positive polarizability) and investigate its behavior for simple cubic (sc), body-centered cubic (bcc), and face-centered…

Materials Science · Physics 2023-03-14 R. Dutta , P. D. Wurzner , F. Castles

Magnetohydrodynamically induced interface instability in liquid metal batteries is analyzed. The batteries are represented by a simplified system in the form of a rectangular cell, in which strong vertical electric current flows through…

Fluid Dynamics · Physics 2018-04-12 Oleg Zikanov
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