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The equation describing the capacitance of capacitors is determined. It is shown that by optimizing the material of the conducting electrodes, the capacitance of capacitors reaching the quantum regime can be substantially enhanced or…

Materials Science · Physics 2015-05-13 Thilo Kopp , Jochen Mannhart

Graphene possesses a unique combination of physical properties including high carrier mobility and high current density it can sustain. In contrast to bulk metals, graphene does not completely screen the external electrostatic field. In…

Applied Physics · Physics 2024-10-03 Alexander Khitun

We present approximate methods for calculating the three-dimensional electric potentials of finite surface electrodes including gaps between electrodes, and estimate the effects of finite electrode thickness and an underlying dielectric…

Quantum Physics · Physics 2010-02-27 Roman Schmied

A flexible multi-parameter exactly solvable model of potential profile, containing an arbitrary number of continuous smoothly shaped barriers and wells, both equal or unequal, characterized by finite values and continuous profiles of the…

Materials Science · Physics 2015-05-13 Alexander Shvartsburg , Vladimir Kuzmiak , Guillaume Petite

The fluctuations of the charge on an electrode contain information on the microscopic correlations within the adjacent fluid and their effect on the electronic properties of the interface. We investigate these fluctuations using molecular…

It is shown that for monolayer graphene electrons are confined on a perfect two dimensional surface. The implications for the electronic properties of corrugated graphene are discussed in view of a derivation of the constrained relativistic…

Materials Science · Physics 2015-05-18 Victor Atanasov , Avadh Saxena

Reliable first-principles calculations of electrochemical processes require accurate prediction of the interfacial capacitance, a challenge for current computationally-efficient continuum solvation methodologies. We develop a model for the…

Chemical Physics · Physics 2018-04-12 Ravishankar Sundararaman , Kendra Letchworth-Weaver , Kathleen Schwarz

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…

A better understanding of interfacial mechanisms is needed to improve the performances of electrochemical devices. Yet, simulating an electrode surface at fixed electrolyte composition remains a challenge. Here we apply a finite electric…

Materials Science · Physics 2019-11-13 Thomas Dufils , Guillaume Jeanmairet , Benjamin Rotenberg , Michiel Sprik , Mathieu Salanne

Ionic behaviors, including ion distributions and hydration characteristics at solid-liquid interfaces, are important research interests in many important applications, such as electric double-layer capacitors and water lubrication. Here, we…

Chemical Physics · Physics 2025-12-08 Bowen Ai , Zekun Gong , Long Ma , Hongwen Zhang , Tianyi Sui , Yinghua Qiu

The unique capabilities of capacitance measurements in bilayer graphene enable probing of layer-specific properties that are normally out of reach in transport measurements. Furthermore, capacitance measurements in the top-gate and…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Andrea F. Young , Leonid S. Levitov

The renewable energy sector critically needs low-cost and environmentally neutral energy storage solutions throughout the entire device life cycle. However, the limited performance of standard water-based electrochemical systems prevents…

Temperature dependence of the capacitance of the electrical double layer (EDL) in concentrated electrolytes/ionic liquids has been under debates for decades. To rationalise the capacitance vs temperature dependence, we run molecular…

Soft Condensed Matter · Physics 2020-05-26 Vladislav B Ivaništšev , Kathleen Kirchner , Maxim V. Fedorov

Polymer electrolytes are intensely investigated for use as solid electrolytes in next generation lithium-ion and lithium-metal batteries. However, little is known about the structural and dynamical properties of polymer electrolytes close…

Soft Condensed Matter · Physics 2021-12-02 Andreas Thum , Diddo Diddens , Andreas Heuer

We use Monte Carlo simulations to examine the simplest model of an ionic liquid, called the restricted primitive model, at a metal surface. We find that at moderately low temperatures the capacitance of the metal/ionic liquid interface is…

Chemical Physics · Physics 2010-11-19 M. S. Loth , Brian Skinner , B. I. Shklovskii

Effects of periodic curvature on the the electrical resistivity of corrugated semiconductor films are theoretically considered. The presence of a curvature-induced potential affects the motion of electrons confined to the thin curved film,…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Shota Ono , Hiroyuki Shima

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

A study of the relation between the electrostatic charge density at a point on a conducting surface and the curvature of the surface (at that point) is presented. Two major scientific literature on this topic are reviewed and the apparent…

Classical Physics · Physics 2016-02-18 Kolahal Bhattacharya

A Poisson-Boltzmann approach is used to determine the double-layer integral and differential capacitances in a finite-length situation for an electrolytic cell. By means of simple analytical calculations, it is shown how these quantities…

Statistical Mechanics · Physics 2012-04-03 Roberta Rarumy Ribeiro de Almeida , Luiz Roberto Evangelista , Giovanni Barbero

We study the properties of an electron on a catenoid surface. The catenoid is understood as a realization of a bridge connecting two graphene layer by a smooth surface. The curvature induces a symmetrical reflectionless potential well…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 J. E. G. Silva , J. Saraiva , T. M. Santhiago , Antonio C. A. Ramos , D. R. da Costa
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