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In this paper, we discuss the leading order correction to the equation of motion of the particle, which presumably describes the effect of gravitational radiation reaction. We derive the equation of motion in two different ways. The first…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

I consider a specially designed simple mechanical problem where "particle acceleration" due to an external force creates sound waves. Theoretical description of this phenomenon should provide the total energy conservation. To introduce…

General Physics · Physics 2013-08-06 Vladimir Kalitvianski

Causal rigid particles whose action includes an {\it arbitrary} dependence on the world-line extrinsic curvature are considered. General classes of solutions are constructed, including {\it causal tachyonic} ones. The Hamiltonian…

High Energy Physics - Theory · Physics 2009-10-22 Jan Govaerts

LaTeX transcription (2025) of a 1989 honours thesis (University of Adelaide) on point charges in classical electrodynamics and the Lorentz-Dirac radiation-reaction equation. The thesis reviews the retarded field of an arbitrarily moving…

Classical Physics · Physics 2025-12-23 Jonathan Baxter

We consider a two-dimensional, incompressible fluid body, together with self-induced interactions. The body is perturbed by an external particle with small mass. The whole configuration rotates uniformly around the common center of mass. We…

Analysis of PDEs · Mathematics 2026-02-25 Diego Alonso-Orán , Bernhard Kepka , Juan J. L. Velázquez

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

An important methodological problem of theoretical mechanics related to inertia is discussed. Analysis Inertia is performed in four-dimensional Minkowski space-time based on the law of conservation of energy-momentum. This approach allows…

General Physics · Physics 2022-04-19 Yurii A. Spirichev

Consider a worldline of a pointlike particle parametrized by polynomial functions, together with the light cone ("retardation") equation of an inertially moving observer. Then a set of apparent copies, R- or C-particles, defined by the…

General Physics · Physics 2015-09-07 Vladimir V. Kassandrov , Ildus Sh. Khasanov , Nina V. Markova

Arguments of astronomers against equation of motion for arbitrarily shaped particle under action of electromagnetic radiation are discussed. Each of the arguments is commented in detail from the point of view of the required physics. It is…

Astrophysics · Physics 2007-05-23 Jozef Klacka

In coherent radiation of an ensemble of electrons, radiation field from electrons resonantly drives the other electrons inside to produce stimulated emission. The radiation reaction force on the electrons accounting for this stimulated…

Accelerator Physics · Physics 2024-07-12 Zhuoyuan Liu , Xiujie Deng , Tong Li , Lixin Yan

We investigate the dynamics of two point-like particles through the third post-Newtonian (3PN) approximation of general relativity. The infinite self-field of each point-mass is regularized by means of Hadamard's concept of ``partie…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luc Blanchet , Guillaume Faye

Starting from the Dirac equation coupled to a classical radiation field a set of equations of motion for charged quasi-particles in the classical limit for slowly varying radiation and matter fields is derived. The radiation reaction term…

Classical Physics · Physics 2016-11-15 Hartmut Ruhl , Christian Herzing

This book is an attempt to build a consistent relativistic quantum theory of interacting particles. In the first part of the book "Quantum electrodynamics" we follow rather traditional approach to particle physics. Our discussion proceeds…

General Physics · Physics 2016-03-15 Eugene V. Stefanovich

It is well known that supermassive black holes in the centers of galaxies are capable of accelerating charged particles to very high energies. In many cases, the particle acceleration by black holes occurs electromagnetically through an…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Bakhtinur Juraev , Zdeněk Stuchlík , Arman Tursunov , Martin Kološ

The interaction of a charged particle with its own field results in the "self-force" on the particle, which includes but is more general than the radiation reaction force. In the vicinity of the particle in curved spacetime, one may follow…

General Relativity and Quantum Cosmology · Physics 2010-01-26 Dong-Hoon Kim

The self force of electrodynamics is derived from a scalar field. The resulting equation of motion is free of all of the problems that plague the Lorentz Abraham Dirac equation. The age-old problem of a particle in a constant field is…

Classical Physics · Physics 2015-05-30 Richard T Hammond

Relativistically covariant equation of motion for real dust particle under the action of electromagnetic radiation is derived. The particle is neutral in charge. Equation of motion is expressed in terms of particle's optical properties,…

Astrophysics · Physics 2007-05-23 Jozef Klacka

Rectified transport of active ellipsoidal particles is numerically investigated in a two-dimensional asymmetric potential. The out-of-equilibrium condition for the active particle is an intrinsic property, which can break thermodynamical…

Soft Condensed Matter · Physics 2015-05-12 Bao-quan Ai , Jian-chun Wu

A charged particle subject to strong external forces will accelerate, and so radiate energy, inducing a self-force. This phenomenon remains contentious, but advances in laser technology mean we will soon encounter regimes where a more…

Classical Physics · Physics 2021-11-01 Adam Noble , David A. Burton , Lauren Docherty , Dino A. Jaroszynski

The radiation reaction for a point-like charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein-Gordon wave equation has support not only on the future light cone of the emission point…

Mathematical Physics · Physics 2012-07-23 Yurij Yaremko