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In the derivation of synchrotron radiation formulas it has been assumed that the pitch angle of a charge remains constant during the radiation process. However from the radiation reaction formula, while the component of the velocity vector…

High Energy Astrophysical Phenomena · Physics 2016-04-01 Ashok K. Singal

In most astrophysical processes involving synchrotron radiation, the pitch-angle distribution of the electrons is assumed to be isotropic. However, if electrons are accelerated anisotropically, e.g, in a relativistic shock wave with an…

High Energy Astrophysical Phenomena · Physics 2018-09-05 Yuan-Pei Yang , Bing Zhang

The standard calculations of the synchrotron emission from charged particles in magnetic fields does not apply when the energy losses of the particles are so severe that their energy is appreciably degraded during one Larmor rotation. In…

Astrophysics · Physics 2009-11-07 Roberto Aloisio , Pasquale Blasi

We examine the electromagnetic fields in the neighbourhood of a "point charge" in arbitrary motion and thereby determine the Poynting flux across a spherical surface of vanishingly small radius surrounding the charge. We show that the…

Classical Physics · Physics 2016-06-01 Ashok K. Singal

We investigate the acceleration and simultaneous radiative losses of electrons in the vicinity of relativistic shocks. Particles undergo pitch angle diffusion, gaining energy as they cross the shock by the Fermi mechanism and also emitting…

Astrophysics · Physics 2009-06-23 Paul Dempsey , Peter Duffy

The paradox of a free falling radiating charged particle in a gravitational field, is a well-known fascinating conceptual challenge that involves classical electrodynamics and general relativity. We discuss this paradox considering the…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Fabrizio Tamburini , Mariafelicia De Laurentis , Ignazio Licata

We study the synchrotron radiation emitted by a charged fermion, rotating as a part of a larger system, in a constant magnetic field $B$ parallel to the axis of rotation. The rotation is classical and independent of the magnetic field. The…

High Energy Physics - Phenomenology · Physics 2023-06-21 Matteo Buzzegoli , Jonathan D. Kroth , Kirill Tuchin , Nandagopal Vijayakumar

The details of trajectories of charged particles become increasingly important for proper understanding of processes of formation of radiation in strong and curved magnetic fields. Because of damping of the perpendicular component of…

High Energy Astrophysical Phenomena · Physics 2015-01-23 A. Yu. Prosekin , S. R. Kelner , F. A. Aharonian

It is shown that the well-known disparity in classical electrodynamics between the power losses calculated from the radiation reaction and that from Larmor's formula, is succinctly understood when a proper distinction is made between…

Classical Physics · Physics 2016-03-15 Ashok K. Singal

It is generally believed that the radiation of relativistic particles in a curved magnetic field proceeds in either the synchrotron or the curvature radiation modes. In this paper we show that in strong curved magnetic fields a significant…

High Energy Astrophysical Phenomena · Physics 2015-01-22 S. R. Kelner , A. Yu. Prosekin , F. A. Aharonian

It is shown that the well-known disparity in classical electrodynamics between the power radiated in electromagnetic fields and the power-loss, as calculated from the radiation reaction on a charge undergoing a non-uniform motion, is…

Classical Physics · Physics 2014-10-29 Ashok K. Singal

The incompatibility between Larmor's formula for radiation losses (at a rate proportional to square of the acceleration of the electric charge) and the radiation reaction (the rate of loss of momentum of the accelerated charge proportional…

General Physics · Physics 2020-09-11 Ashok K. Singal

Synchrotron radiation detected from relativistic astrophysical objects such as pulsar-wind nebulae and {jets from active galactic nuclei} depends on the magnetic fields and the distribution functions of energetic electrons in these systems.…

Astrophysics of Galaxies · Physics 2026-03-04 Daniel Humphrey , Cristian Vega , Stanislav Boldyrev , Vadim Roytershteyn

A charge moving freely in orbit around the Earth radiates according to Larmor's formula. If the path is closed, it would constitute a perpetuum mobile. The solution to this energy paradox is found in an article by C. M. DeWitt and B. DeWitt…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Øyvind Grøn , Sigurd Kirkevold Næss

Many astrophysical sources radiate via synchrotron emission from relativistic electrons. The electrons give off their kinetic energy as radiation and this radiative loss modifies the electron energy distribution. An analytical treatment of…

High Energy Astrophysical Phenomena · Physics 2015-03-18 Siddharth Malik

It is shown that the familiar Larmor's formula or its relativistic generalization, Li\'enard's formula, widely believed to represent the instantaneous radiative losses from an accelerated charge, are not compatible with the special theory…

General Physics · Physics 2018-03-22 Ashok K. Singal

We obtain a system of exact solutions of the Dirac equation for an electron moving in a constant homogeneous external magnetic field with account of its vacuum magnetic moment and assumed Lorentz invariance violation in the minimal CPT-odd…

High Energy Physics - Theory · Physics 2008-11-26 I. E. Frolov , V. Ch. Zhukovsky

The synchrotron radiation emitted by runaway electrons in a fusion plasma provides information regarding the particle momenta and pitch-angles of the runaway electron population through the strong dependence of the synchrotron spectrum on…

Plasma Physics · Physics 2015-02-26 A. Stahl , M. Landreman , G. Papp , E. Hollmann , T. Fülöp

The adiabatic invariance of the magnetic moment during particle motion is of fundamental importance to the dynamics of magnetized plasma. The related rate of pitch angle scattering is investigated here for fast particles that thermally…

Plasma Physics · Physics 2022-01-26 Yi Xu , Jan Egedal

The formula for dipole radiation reaction torque acting on a system of charges, and the Larmor-like formula for the angular momentum loss by this system, differ in the time derivative term which is the analogue of the Schott term in the…

Classical Physics · Physics 2022-04-05 Askold Duviryak
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