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We give a physically compelling definition of the instantaneous reactive energy density associated with an arbitrary transient electromagnetic field in vacuum.

Mathematical Physics · Physics 2016-11-18 Gerald Kaiser

A unified and fully relativistic treatment of the interaction of the electric and magnetic dipole moments of a particle with the electromagnetic field is given. New forces on the particle due to the combined effect of electric and magnetic…

High Energy Physics - Theory · Physics 2009-10-31 Jeeva S. Anandan

We give an integral expression for the vector potential of a time-independent, steady azimuthal current density. Our derivation is substantially simpler and somewhat more general than others given in the literature. As an illustration, we…

Classical Physics · Physics 2025-10-14 Antonio O. Bouzas

Active matter encompasses systems whose individual consituents dissipate energy to exert propelling forces on their environment. This rapidly developing field harbors a dynamical phenomenology with no counterpart in passive systems. The…

Statistical Mechanics · Physics 2023-12-19 Jérémy O'Byrne , Yariv Kafri , Julien Tailleur , Frédéric van Wijland

Generalized definitions for angular and linear momentum are given and shown to reduce to the ADM (at spatial infinity) definitions and the definitions at null infinity in the appropriate limit. These definitions are used to express angular…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Anthony Rizzi

In the present work, we study the classical behavior of an electric dipole in presence of an external uniform magnetic field. We derive equations and constants of motion from the Lagrangian formulation. We obtain an infinitely periodic…

Classical Physics · Physics 2009-11-11 Paulina I. Troncoso , Sergio Curilef

These lecture notes are designed to provide a brief introduction into the phenomenology of active matter and to present some of the analytical tools used to rationalize the emergent behavior of active systems. Such systems are made of…

Soft Condensed Matter · Physics 2018-07-02 Étienne Fodor , M. Cristina Marchetti

This paper presents a novel time-domain perspective of the Currents' Physical Components (CPC) power theory for single-phase systems operating under nonsinusoidal conditions. The proposed CPC decomposition reveals some appealing physical…

Optimization and Control · Mathematics 2014-04-28 Dimitri Jeltsema , Jacob W. van der Woude , Marek T. Hartman

We derive expressions for the expectation values of the local energy and the local power transferred by an external electrical field to a many-particle system of interacting spinless electrons. In analogy with the definition of the (local)…

Quantum Physics · Physics 2016-06-22 Guillermo Albareda , Fabio Lorenzo Traversa , Xavier Oriols

The usual canonical Hamiltonian or Lagrangian formalism of classical mechanics applied to macroscopic systems describes energy conserving adiabatic motion. If irreversible diabatic processes are to be included, then the law of increasing…

Classical Physics · Physics 2009-11-13 J. Silverberg , A. Widom

We present the construction of an original stochastic model for the instantaneous turbulent kinetic energy at a given point of a flow, and we validate estimator methods on this model with observational data examples. Motivated by the need…

Fluid Dynamics · Physics 2022-11-30 Mireille Bossy , Jean-Francois Jabir , Kerlyns Martinez Rodriguez

Different models are described where non-interacting particles generate dissipative effective forces by the mixing of infinitely many soft normal modes. The effective action is calculated for these models within the Closed Time Path…

High Energy Physics - Theory · Physics 2015-02-16 Janos Polonyi

This work formulates and gives grounds for general principles and theorems that question the energy function doctrine and its quantum version as a genuine law of nature without borders of adequacy. The emphasis is on the domain where the…

General Physics · Physics 2011-09-23 V. E. Shapiro

The instantaneous nature of the potentials of the Coulomb gauge is clarified and a concise derivation is given of the vector potential of the Coulomb gauge expressed in terms of the instantaneous magnetic field.

Classical Physics · Physics 2010-06-01 A. M. Stewart

For the first time a method is devised for non-iterative modeling of motion of a radiating, electrified pointlike mass that has an internal structure. New, supplementary kinetic constants of accelerated charged particles are defined, that…

General Physics · Physics 2010-05-24 Marijan Ribarič , Luka Šušteršič

It is demonstrated that energy conservation allows for a straight derivation of Newtonian mechanics without an apriori definition of the concept of work. Furthermore it is shown that energy must be depicted as a function of position and…

Classical Physics · Physics 2026-03-03 C. Baumgarten

Quantizing the transfer of energy and momentum between interacting particles, we obtain a quantum impulse equation and relations that the corresponding mechanical power, force and torque satisfy. In addition to the energy-frequency and…

Quantum Physics · Physics 2021-02-25 Miroslav Georgiev

The fallacies associated with the gauge concept in electromagnetism are illustrated. A clearer and more valid formulation of the basics of classical electromagnetism is provided by recognizing existing physical constraints as well as the…

Classical Physics · Physics 2014-11-21 Paul J. Cote

The problems considered refer to the material equations of electric- and magnetoelectric induction. Some contradictions found in fundamental studies on classical electrodynamics have been explained. The notion magnetoelectric induction has…

General Physics · Physics 2007-05-23 F. F. Mende

Instantons present a deep insight into non-perturbative effects both in physics and mathematics. While leading instanton effects can be calculated simply as an exponent of the instanton action, the calculation of subleading contributions…

High Energy Physics - Theory · Physics 2024-02-13 Farahmand Hasanov , Nikita Kolganov