Speaker
Dr
Robin Ekman
(Umeå University)
Description
There is a renewed interest in the physics of radiation reaction (RR), largely driven by high-power laser systems where particles are subject to RR forces at least as strong as the Lorentz force. The Lorentz-Abraham Dirac (LAD) equation of motion with RR has, however, unphysical runaway solutions. The Landau-Lifshitz (LL) equation obtained from the Lorentz-Abraham-Dirac equation through `reduction of order' is free of these.
We show how LL is the first in a divergent series of approximations that, after resummation, eliminate runaway solutions at all orders. Using Borel plane and transseries analysis we explain why this is, and show that a non-perturbative formulation of reduction of order can retain runaway solutions.
Primary author
Dr
Robin Ekman
(Umeå University)
