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Asymptotics of physical solutions to the Lorentz-Dirac equation for planar motion in constant electromagnetic fields
1Physics Faculty, Tomsk State University, Tomsk, 634050, Russia and Institute of Monitoring of Climatic and Ecological Systems, SB RAS, Tomsk, 634055, Russia.
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.
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