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In electronic devices where a two-dimensional electron gas (2DEG) comprises one or both sides of a plane capacitor, the resulting capacitance $C$ can be larger than the "geometric capacitance" $C_g$ determined by the physical separation $d$…

Mesoscale and Nanoscale Physics · Physics 2012-07-06 Brian Skinner , B. I. Shklovskii

An approximate analytical formula for the capacitance of a non-parallel plate capacitor with small values of inclination angles and distance separations of the plates is presented. Most applications involving position sensing that are…

General Relativity and Quantum Cosmology · Physics 2013-05-20 Bijunath R. Patla

The differential capacitance comprises the most relevant thermodynamic information about an electrochemical system. Classical approaches to describe electrochemical capacitance have difficulties to combine the treatment of the ionic…

Chemical Physics · Physics 2023-02-17 Tobias Binninger

We start from microscopic approach to many body physics and show the analytical steps and approximations required to arrive at the concept of quantum capacitance. These approximations are valid only in the semi-classical limit and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Sreemoyee Mukherjee , M. Manninen , P. Singha Deo

We introduce a combined density functional theory (DFT) and non-equilibrium Green's function (NEGF) framework to compute the capacitance of nanocapacitors and directly extract the dielectric response of a sub-nanometer dielectric under…

We study the classic problem of the capacitance of a circular parallel plate capacitor. At small separations between the plates, it is initially considered in 19th century by Kirchhoff who found the leading and the subleading term in the…

Mathematical Physics · Physics 2020-03-18 Benjamin Reichert , Zoran Ristivojevic

Various methods for calculating the capacitance of unloaded rolling elements are compared to improve the electric characterization of rolling element bearings. Semi-analytical approximations and finite element simulations are applied and a…

Computational Engineering, Finance, and Science · Computer Science 2022-09-21 Steffen Puchtler , Tobias Schirra , Eckhard Kirchner , Yvonne Späck-Leigsnering , Herbert De Gersem

In this paper, the capacitance of a parallel plate air-gap rectangular capacitor, and a unit cube capacitor have been calculated. Because of its generality and simplicity, the method of moments (MOM) Technique is utilized. In order to…

Computational Engineering, Finance, and Science · Computer Science 2022-06-13 Saeed Sarkarati , Mohammad Mehdi Tehranchi , Esfandiar Mehrshahi

We report a capacitance tracking method for achieving arbitrary polarization rotation from nematic liquid crystals. By locking to the unique capacitance associated with the molecular orientation, any polarization rotation can be achieved…

Instrumentation and Detectors · Physics 2017-10-11 Rakhitha Chandrasekara , Kadir Durak , Alexander Ling

This paper concerns the eigenvalues of the Neumann-Poincar\'e operator, a boundary integral operator associated with the harmonic double-layer potential. Specifically, we examine how the eigenvalues depend on the support of integration and…

Analysis of PDEs · Mathematics 2025-04-02 Matteo Dalla Riva , Pier Domenico Lamberti , Paolo Luzzini , Paolo Musolino

In recent years, constant applied potential molecular dynamics has allowed to study the structure and dynamics of the electrochemical double-layer of a large variety of nanoscale capacitors. Nevertheless it remained impossible to simulate…

Materials Science · Physics 2021-09-03 Thomas Dufils , Michiel Sprik , Mathieu Salanne

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

It has been known that spin-dependent capacitances usually coexist with geometric capacitances in a magnetic multilayer. However, the charge and energy storage of the capacitance due to spin accumulation has not been fully understood. Here,…

Materials Science · Physics 2017-09-13 Yao-Hui Zhu , Xiao-Xue Zhang , Jian Liu , Pei-Song He

Statistically studied are the equilibrium characteristics of a subsystem of mobile charges of one sort, taking into account the subsystem of fixed charges of the opposite sign creating a compensating electric background. The distribution of…

Other Condensed Matter · Physics 2019-02-07 H. S. Bokun , D. di Caprio

An insight into bispinor analysis makes it possible to describe the electron in selfaction as a fundamental steady state. The electromagnetic theory, and the Dirac equation for the study of an electron in presence of external potentials,…

Quantum Physics · Physics 2011-11-09 Yair Goldin

Two factors contribute to the electrical capacitance between two electrodes: a classical contribution, stemming from the electric field, and a quantum contribution, governed by the Pauli exclusion principle, which increases the difficulty…

Mesoscale and Nanoscale Physics · Physics 2025-10-08 T. de Ara , B. Olivera , C. Sabater , C. Untiedt

A method for a calculation of quantum capacitance for a two-dimesional electron gas (2DEG) in potential wells of complicated geometry on the base of a quantum wave impedance technique was proposed. The application of this method was…

Quantum Physics · Physics 2020-10-23 O. I. Hryhorchak

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

Optical properties of materials related to light absorption and scattering are explained by the excitation of electrons. The Bethe-Salpeter equation is the state-of-the-art approach to describe these processes from first principles (ab…

Numerical Analysis · Mathematics 2020-08-21 Peter Benner , Carolin Penke

A new experimental set-up for Boltzmann constant measurement is described. Statistically averaged square of voltage $\left<U^2\right>$ is measured for different capacitances $C$. Boltzmann constant is determined by the equipartition theorem…