Asymptotics of physical solutions to the Lorentz-Dirac equation for planar motion in constant electromagnetic fields
Abstract
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.
- Publication:
-
Physical Review E
- Pub Date:
- June 2011
- DOI:
- 10.1103/PhysRevE.83.066606
- arXiv:
- arXiv:1012.5728
- Bibcode:
- 2011PhRvE..83f6606K
- Keywords:
-
- 03.50.De;
- 41.60.-m;
- Classical electromagnetism Maxwell equations;
- Radiation by moving charges;
- High Energy Physics - Theory
- E-Print:
- 24 pp