dorsal/arxiv
View SchemaSelf Force of a Charge in a Real Current Environment
| Authors | Reuven Ianconescu, L. P. Horwitz |
|---|---|
| Categories | |
| ArXiv ID | physics/0206064 |
| URL | https://arxiv.org/abs/physics/0206064 |
| DOI | 10.1023/A:1023933603250 |
| Journal | Found. Phys. Lett. 15(6), 551-559 (2002) |
Abstract
The analysis of the EM radiation from a single charge shows that the radiated power depends on the retarded acceleration of the charge. Therefore, for consistency, an accelerated charge, free from the influence of external forces, should gradually lose its acceleration, until its total energy is radiated. Calculations show that the self force of a charge, which compensates for its radiation, is proportional to the derivative of the acceleration. However, when using this self-force in the equation of motion of the charge, one gets a diverging solution, for which the acceleration runs away to infinity. This means that there is an inconsistency in the solution of the single charge problem. However, in the construction of the conserved Maxwell charge density, there is implicitly an integral over the corresponding world line which corresponds to a collection of charged spacetime events. One may therefore consistently think of the ``self force'' as the force on a charge due to another charge at the retarded position. From this point of view, the energy is evidently conserved and the radiation process appears as an absorbing resistance to the feeding source. The purpose of this work is to learn about the behavior of single charges from the behavior of a real current, corresponding to the set of chargesa moving on a world line, and to study the analog of the self force of a charge associated with the radiation resistance of a continuum of charges.
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"abstract": "The analysis of the EM radiation from a single charge shows that the radiated\npower depends on the retarded acceleration of the charge. Therefore, for\nconsistency, an accelerated charge, free from the influence of external forces,\nshould gradually lose its acceleration, until its total energy is radiated.\nCalculations show that the self force of a charge, which compensates for its\nradiation, is proportional to the derivative of the acceleration. However, when\nusing this self-force in the equation of motion of the charge, one gets a\ndiverging solution, for which the acceleration runs away to infinity. This\nmeans that there is an inconsistency in the solution of the single charge\nproblem. However, in the construction of the conserved Maxwell charge density,\nthere is implicitly an integral over the corresponding world line which\ncorresponds to a collection of charged spacetime events. One may therefore\nconsistently think of the ``self force\u0027\u0027 as the force on a charge due to\nanother charge at the retarded position. From this point of view, the energy is\nevidently conserved and the radiation process appears as an absorbing\nresistance to the feeding source. The purpose of this work is to learn about\nthe behavior of single charges from the behavior of a real current,\ncorresponding to the set of chargesa moving on a world line, and to study the\nanalog of the self force of a charge associated with the radiation resistance\nof a continuum of charges.",
"arxiv_id": "physics/0206064",
"authors": [
"Reuven Ianconescu",
"L. P. Horwitz"
],
"categories": [
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"doi": "10.1023/A:1023933603250",
"journal_ref": "Found. Phys. Lett. 15(6), 551-559 (2002)",
"title": "Self Force of a Charge in a Real Current Environment",
"url": "https://arxiv.org/abs/physics/0206064"
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