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We consider a static self-gravitating charged perfect fluid system in the Einstein-Maxwell theory. Assume Maxwell's equation and the Einstein constraint equation are satisfied, and the temperature of the fluid obeys Tolman's law. Then we…

General Relativity and Quantum Cosmology · Physics 2015-08-04 Xiongjun Fang , Sijie Gao

The chemical potential of a quantum dot parabolically confining one or two electrons is studied in an axial magnetic field. The number of electrons in the dot is given by combination between the chemical potentials of the dots and leads.…

Mesoscale and Nanoscale Physics · Physics 2008-03-17 Qing-Rui Dong

We extend the duality symmetry between the electric and the magnetic fields to the case in which an additional axion-like term is present, and we derive the set of Maxwell's equations that preserves this symmetry. This new set of equations…

Classical Physics · Physics 2022-06-14 Luca Visinelli

We study the problem of charging a quantum battery in finite time. We demonstrate an analytical optimal protocol for the case of a single qubit. Extending this analysis to an array of N qubits, we demonstrate that an N-fold advantage in…

Quantum Physics · Physics 2015-07-28 Felix C. Binder , Sai Vinjanampathy , Kavan Modi , John Goold

A fundamental result of classical electromagnetism is that Maxwell's equations imply that electric charge is locally conserved. Here we show the converse: Local charge conservation implies the local existence of fields satisfying Maxwell's…

Classical Physics · Physics 2019-07-08 Lucas Burns

The notion of a compact object immune to the horizon problem and comprising an anisotropic inhomogeneous fluid with a specific radial pressure behavior, i.e. the gravastar, is extended by introducing an electrically charged component.…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Dubravko Horvat , Sasa Ilijic , Anja Marunovic

It is shown in linear approximation that in the case of one-dimensional problem of transverse electron waves in a half-infinite slab of homogeneous Maxwellian collisionless plasma with the given boundary field frequency two wave branches of…

Plasma Physics · Physics 2007-11-20 V. N. Soshnikov

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

Mathematical Physics · Physics 2015-05-14 T. Dereli , R. W. Tucker

The charging of a quantum box connected to a lead by a single-mode point contact is solved for arbitrary temperatures, tunneling amplitudes, and gate voltages, using a variant of Wilson's numerical renormalization group. The charge inside…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eran Lebanon , Avraham Schiller , Frithjof B. Anders

Maxwell Electrodynamics can be described either in Minkowski space-time or in a dynamically equivalent way in a curved geometry constructed in terms of the electromagnetic field. For this the field must have a superior bound limited by a…

General Relativity and Quantum Cosmology · Physics 2016-11-18 M. Novello , C. E. L. Ducap

Solving the Einstein-Klein-Gordon-Maxwell system, we construct and analyze the properties of an electrically charged wormhole, formed from a complex, massive scalar field, with self-interaction, and endowed with an electric charge. The…

General Relativity and Quantum Cosmology · Physics 2023-10-18 Víctor Jaramillo , Mariana Lira , Daniel Martínez-Carbajal , Darío Núñez

We propose a generalized London theory that can correctly describe the longitudinal and transverse responses of conventional superconductors to an electromagnetic field. The continuity equation is satisfied by use of a special gauge for the…

Superconductivity · Physics 2009-11-10 Tomio Koyama

Conservation of current and conservation of charge are nearly the same thing: when enough is known about charge movement, conservation of current can be derived from conservation of charge, in ideal dielectrics, for example. Conservation of…

Other Quantitative Biology · Quantitative Biology 2016-10-20 Bob Eisenberg

We find exact, simple solutions to the Proca version of Maxwell's equations with magnetic sources. Several properties of these solutions differ from the usual case of magnetic charge with a massless photon: (i) the string singularities of…

General Physics · Physics 2018-04-25 Timothy J. Evans , Douglas Singleton

This study presents a comprehensive analysis of a two-level battery charger for electric vehicles, focusing on modeling, simulation, and performance evaluation. The proposed charger topology employs two switches operating complementarily,…

Systems and Control · Electrical Eng. & Systems 2025-01-09 José M. Campos-Salazar , Juan L. Aguayo-Lazcano , Roya Rafiezadeh

Installation of capacitors in distribution networks is one of the most used procedure to compensate reactive power generated by loads and, consequently, to reduce technical losses. So, the problem consists in identifying the optimal…

Optimization and Control · Mathematics 2017-02-01 André R. Goncalves , Celso Cavelucci , Christiano Lyra Filho , Fernando J. Von Zuben

Batteries are playing an increasingly central role as distributed energy resources in the shift toward power systems dominated by renewable energy sources. However, existing battery models must invariably rely on complementarity constraints…

Optimization and Control · Mathematics 2025-06-27 Juan M. Morales

We study the spontaneous scalarization of a standard conducting charged sphere embedded in Maxwell-scalar models in flat spacetime, wherein the scalar field $\phi$ is nonminimally coupled to the Maxwell electrodynamics. This setup serves as…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Carlos A. R. Herdeiro , Taishi Ikeda , Masato Minamitsuji , Tomohiro Nakamura , Eugen Radu

Electrochemical devices often charge both through Faradaic reactions and electric double layer formation. Here, we study these coupled processes in a model system of a long electrolyte-filled pore subject to a small suddenly-applied…

Statistical Mechanics · Physics 2025-10-27 Timur Aslyamov , Massimiliano Esposito , Mathijs Janssen

Lower speed impinging ions (with hydration shells) cannot transverse ion channels once internal charge goes positive. Yet neural pulse waveforms fail to show the expected risetime distortion beginning at zero voltage. Observed waveforms…

Neurons and Cognition · Quantitative Biology 2010-09-20 John Robert Burger