title: 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.
authors.affiliation: Physics Faculty, Tomsk State University, Tomsk, 634050, Russia and Institute of Monitoring of Climatic and Ecological Systems, SB RAS, Tomsk, 634055, Russia.
authors.forename: P O
authors.initials: PO
authors.lastname: Kazinski
authors.forename: M A
authors.initials: MA
authors.lastname: Shipulya