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A long time ago F. Bloch showed that in a system of interacting non-relativistic particles the net particle-number current must vanish in any equilibrium state. Bloch's argument does not generalize easily to the energy current. We devise an…

Statistical Mechanics · Physics 2019-08-14 Anton Kapustin , Lev Spodyneiko

In the electromagnetic theory, the Hertz vector reduces the number of potentials in the free fields. The further advantage of this potential is that it is much easier to solve some radiation processes. It indicates that the related method…

Classical Physics · Physics 2022-07-25 Katalin Gambár , Ferenc Márkus

The Maxwell-Lorentz theory of electrodynamics cannot readily be applied to a system of point charges: the electromagnetic field is not well-defined at the position of a point charge, an energy conservation argument is not obvious, an…

Classical Physics · Physics 2020-03-24 Mischa Moerkamp

We show that a kind of displacement induced temporary electric force of a single point charge can be derived by using Maxwell stress analysis. This force comes from the variation of the charge's electric intensities that follow Coulomb's…

Classical Physics · Physics 2013-06-14 Zhixian Yu , Liang Yu

In the present contribution we show that the introduction of a conserved axial current in electrodynamics can explain the quantization of electric charge, preserving parity conservation, and introduces a dynamical discreteness into…

High Energy Physics - Theory · Physics 2007-05-23 S. C. S. Silva , P. C. R. C. Mello , M. C. Nemes

We explore the classical dynamics of two interacting rotating dipoles that are fixed in the space and exposed to an external homogeneous electric field. Kinetic energy transfer mechanisms between the dipoles are investigated varying both…

Chaotic Dynamics · Physics 2017-01-25 Rosario González-Férez , Manuel Iñarrea , J. Pablo Salas , Peter Schmelcher

The time derivative of the charge density is linked to the current density by the continuity equation. However, it features only the longitudinal part of a current density, which is known to produce no radiation. This fact usually remains…

Optics · Physics 2022-01-21 Nikita Nemkov , Vassili Fedotov

For an electrostatic wave interacting with a single species in a collisionless plasma, momentum conservation implies current conservation. However, when multiple species interact with the wave, they can exchange momentum, leading to current…

Plasma Physics · Physics 2023-05-18 Ian E. Ochs , Nathaniel J. Fisch

We investigate dynamical transport properties of interacting electrons moving in a vibrating nanoelectromechanical wire in a magnetic field. We have built an exactly solvable model in which electric current and mechanical oscillation are…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Hangmo Yi , Kang-Hun Ahn

In this article, we first point out a missing active-device while providing its theoretical definition and impact on electronics. This type of active devices has an inverse functionality of transistors, and is suggested to be called…

Applied Physics · Physics 2018-09-25 Sungsik Lee

We present a scattering description of transport in several normal-superconductor structures. We show that the related requirements of self-consistency and current conservation introduce qualitative changes in the transport behavior when…

Superconductivity · Physics 2009-10-28 J. Sánchez-Cañizares , F. Sols

The generic changes of the electronic compressibility in systems which show magnetic instabilities is studied. It is shown that, when going into the ordered phase, the compressibility is reduced by an amount comparable to the its original…

Condensed Matter · Physics 2009-10-31 F. Guinea , G. Gomez-Santos , D. Arovas

The influence of a small relative density difference on the displacement of two miscible liquids is studied experimentally in transparent 2D networks of micro channels. Both stable displacements in which the denser fluid enters at the…

The following inverse problem is discussed. A static electromagnetic field generated by a limited system of charges and currents is supposed to be known with its first derivatives at a point somewhere far from the system. This allows to…

Classical Physics · Physics 2015-02-16 V. Ya. Epp , G. F. Kopytov , T. G. Mitrofanova

It is proposed to used, as a basic property specifying the difference between an insulator and a conductor, a static phenomenon, namely the field effect which absent in the former, but present in the latter. The absence or present of the…

Superconductivity · Physics 2007-05-23 E. K. Kudinov

A system of degenerate drift-diffusion equations for the electron, hole, and oxygen vacancy densities, coupled to the Poisson equation for the electric potential, is analyzed in a three-dimensional bounded domain with mixed…

Analysis of PDEs · Mathematics 2023-11-29 Ansgar Jüngel , Martin Vetter

Cosmic magnetic structures have in common that they are anchored in a dynamo, that an external driver converts kinetic energy into internal magnetic energy, that this magnetic energy is transported as Poynting flux across the magnetically…

High Energy Astrophysical Phenomena · Physics 2014-03-05 Jan Kuijpers , Harald U. Frey , Lyndsay Fletcher

We study differential equations, describing interaction of electromagnetic field with moving sidebars and surfaces, coming from integral electrodynamics laws. It is shown that differential equations contain but the such features of…

General Physics · Physics 2007-05-23 V. Bashkov , S. Kozyrev

We develop in this work a simple qualitative quantum electron transport model, in the strong light-matter coupling regime under dipole approximation, able to capture polaritonic signatures in the time-dependent electrical current. The…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Carlos F. Destefani , Matteo Villani , Xavier Cartoixà , Michael Feiginov , Xavier Oriols

The time evolution properties of charge current for the one-dimensional Hubbard model in an electric field have been studied in a rigorous manner. We find that there is a complete and orthonormal set of time-evolution states for which the…

Strongly Correlated Electrons · Physics 2022-07-04 Yong Zheng