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The dynamics of relativistic particles in an intense electromagnetic field can be described by the Landau-Lifshitz (LL) equation, where the adiation reaction (RR) is accounted for via a self-force, and interparticle fields are often…

Plasma Physics · Physics 2025-06-09 Michael J. Quin , Antonino Di Piazza , Christoph H. Keitel , Matteo Tamburini

A point charge accelerating under the influence of an external force emits electromagnetic radiation that reduces the increase in its mechanical energy. This causes a reduction in the particle's acceleration. We derive the decrease in…

Classical Physics · Physics 2024-10-08 Jerrold Franklin

Equation of motion of an uncharged arbitrarily shaped dust particle under the effects of (stellar) electromagnetic radiation and thermal emission is derived. The resulting relativistically covariant equation of motion is expressed in terms…

Astrophysics · Physics 2008-07-21 J. Klacka

Several different methods have recently been proposed for calculating the motion of a point particle coupled to a linearized gravitational field on a curved background. These proposals are motivated by the hope that the point particle…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Theodore C. Quinn

This paper addresses the radiation back reaction problem for cosmological branes. A general framework is provided in which results are given for the radiation reaction with massles and massive scalar fields with flat extra dimensions and…

High Energy Physics - Theory · Physics 2009-11-10 Ian G. Moss , James P Norman

Relativistic action-at-a-distance theories with interactions that propagate at the speed of light in vacuum are investigated. We consider the most general action depending on the velocities and relative positions of the particles. The…

High Energy Physics - Theory · Physics 2008-11-26 Domingo J. Louis-Martinez

We consider the radiation reaction to the motion of a point-like particle of mass $m$ and specific spin $S$ traveling on a curved background. Assuming $S=O(Gm)$ and $Gm\ll L$ where $L$ is the length scale of the background curvature, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

The validity of two fundamental concepts of classical chemical kinetics - the notion of "Chemical Equilibrium" and the "Law of Mass Action" - are re-examined for reversible \textit{diffusion-limited} reactions (DLR), as exemplified here by…

Statistical Mechanics · Physics 2009-11-10 R. Voituriez , M. Moreau , G. Oshanin

We propose a manifestly Lorentz covariant, non-commutative Dirac equation for charged particles interacting with an electromagnetic field. The equation is formulated on the operator level, but operators are not composed through the normal…

High Energy Physics - Theory · Physics 2016-09-05 P. H. Williams , F. G. Scholtz

Radiation reaction (RR) effects on the acceleration of a thin plasma foil by a superintense laser pulse in the radiation pressure dominated regime are investigated theoretically. A simple suitable approximation of the Landau-Lifshitz…

Plasma Physics · Physics 2010-12-16 M. Tamburini , F. Pegoraro , A. Di Piazza , C. H. Keitel , A. Macchi

It is shown that formulas for the radiative power loss and radiation reaction from a charge can be derived in a heuristic manner from the kinetic power (rate of change of the kinetic energy) of its electric inertial mass. The derivation…

Classical Physics · Physics 2018-10-24 Ashok K. Singal

A point particle of mass m moving on a geodesic creates a perturbation h, of the spacetime metric g, that diverges at the particle. Simple expressions are given for the singular m/r part of h and its quadrupole distortion caused by the…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

We revisit in the framework of the classical theory the problem of the accelerated motion of an electron, taking into account the effect of the radiation emission. We present results for the momentum and energy of the electromagnetic field…

Classical Physics · Physics 2018-11-21 Mihai Dondera

There are known problems of Lorentz-Dirac equation for moving with acceleration charged particle in classical electrodynamics. The model of extended in one dimension particle is proposed and shown that electromagnetic self-interaction can…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Vlasov

The description of the dynamics of an electron in an external electromagnetic field of arbitrary intensity is one of the most fundamental outstanding problems in electrodynamics. Remarkably, to date there is no unanimously accepted…

The massive electrodynamics is applied to the Dirac equation to find the generalized Volkov solution with massive photon field. The resulting equation is the Riccati equation which cannot be solved in general. We use the approximative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Miroslav Pardy

We discuss the unstable character of the solutions of the Lorentz-Dirac equation and stress the need of methods like order reduction to derive a physically acceptable equation of motion. The discussion is illustrated with the paradigmatic…

Classical Physics · Physics 2015-06-26 D. Vogt , P. S. Letelier

(Abridged) Following particle trajectories in the intense electromagnetic field of a neutron star is prohibited by the large ratio between the cyclotron frequency $\omega_{\rm B}$ and the stellar rotation frequency $\Omega$. No fully…

High Energy Astrophysical Phenomena · Physics 2023-09-13 Jérôme Pétri

The Landau-Lifshitz equation provides an efficient way to account for the effects of radiation reaction without acquiring the non-physical solutions typical for the Lorentz-Abraham-Dirac equation. We solve the Landau-Lifshitz equation in…

Plasma Physics · Physics 2014-01-31 N. V. Elkina , A. M. Fedotov , C. Herzing , H. Ruhl

We propose a new method of detecting radiation reaction effects in the motion of particles subjected to laser pulses of moderate intensity and long duration. The effect becomes sizeable for particles that gain almost no energy through the…

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