Abstract
We investigate the strong acceleration properties of the radiation reaction force and identify a new and promising limiting acceleration feature in the Eliezer-Ford-O'Connell model; in the strong field regime, for many field configurations, we find an upper limit to acceleration resulting in a bound to the rate of radiation emission. If this model applies, strongly accelerated particles are losing energy at a much slower pace than predicted by the usual radiation reaction benchmark, the Landau-Lifshitz equation, which certainly cannot be used in this regime. We explore examples involving various ``constant'' electromagnetic field configurations and study particle motion in a light plane wave as well as in a material medium.
Highlights
Inspired by the Born-Infeld (BI) theory of electromagnetism [1,2,3], we ask if there can be a natural upper limit to the acceleration that a charged particle can experience
IV a general result determining the form of the acceleration magnitude in terms of the invariant Lorentz force acceleration and field invariants; we describe special dynamical examples in different field configurations
The last entry in the table, the Mo-Papas equation [19], is the constant field form of the EFO form. It cannot be viewed as another potentially valid RR force, as it is missing a field derivative term and disagrees with LL equations for weak fields, leading to unphysical solutions. It has been shown [20] that the Mo-Papas radiation reaction force vanishes for any motion in one dimension, an unphysical result not seen in other RR formulations
Summary
Inspired by the Born-Infeld (BI) theory of electromagnetism [1,2,3], we ask if there can be a natural upper limit to the acceleration that a charged particle can experience. Ð2Þ emits an energy equal to its rest mass equivalent in a span of time equal to the characteristic RR time interval τ0, PRR mc τ0 This situation has motivated our search for a RR force with properties akin to the BI theory; if a particle’s acceleration was bounded by aRR, Eq (2), the particle’s radiation rate is bounded by Eq (3). Eq (3) the EFO equation generates a RR force that in turn generates a limited acceleration aRR, creating a physically self-consistent model of charged particle motion. We will use the following electric and magnetic constants with units of frequency: ΩE eE ; mc ΩB eB m ð8Þ where e and m are the charge and mass of the particle, respectively.
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