Asymptotics of physical solutions to the Lorentz-Dirac equation for planar motion in constant electromagnetic fields
| Parent link: | Physical Review E: Scientific Journal Vol. 83, iss. 6.— 2011.— [066606, 12 p.] |
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| Résumé: | Title screen We present a study of planar physical solutions to the Lorentz-Dirac equation in a constant electromagnetic field. In this case, we reduced the Lorentz-Dirac equation to one second-order differential equation. We obtained the asymptotics of physical solutions to this equation at large proper times. It turns out that, in a crossed constant uniform electromagnetic field with vanishing invariants, a charged particle enters a universal regime at large times. We found that the ratios of momentum components that tend to constants are determined only by the external field. This effect is essentially due to a radiation reaction. There is no such effect for the Lorentz equation in this field. Режим доступа: по договору с организацией-держателем ресурса |
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2011
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| Accès en ligne: | https://doi.org/10.1103/PhysRevE.83.066606 |
| Format: | Électronique Chapitre de livre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=667557 |
| Résumé: | Title screen We present a study of planar physical solutions to the Lorentz-Dirac equation in a constant electromagnetic field. In this case, we reduced the Lorentz-Dirac equation to one second-order differential equation. We obtained the asymptotics of physical solutions to this equation at large proper times. It turns out that, in a crossed constant uniform electromagnetic field with vanishing invariants, a charged particle enters a universal regime at large times. We found that the ratios of momentum components that tend to constants are determined only by the external field. This effect is essentially due to a radiation reaction. There is no such effect for the Lorentz equation in this field. Режим доступа: по договору с организацией-держателем ресурса |
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| DOI: | 10.1103/PhysRevE.83.066606 |