Dynamics of ultrarelativistic charged particles with strong radiation reaction. I. Aristotelian equilibrium state

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Previous studies from the astrophysics and laser physics communities have identified an interesting phenomenon wherein ultrarelativistic charged particles experiencing strong radiation reaction tend to move along special directions fixed by the local electromagnetic field. In the relativity literature these are known as the "principal null directions"(PNDs) of the Maxwell field. A particle in this regime has "Aristotelian"dynamics in the sense that its velocity (rather than acceleration) is determined by the local field. We study this Aristotelian equilibrium in detail, starting from the Landau-Lifshitz equation describing charged particle motion including radiation reaction. Using a Frenet-Serret frame adapted to the PNDs, we derive the Lorentz factor describing motion along the local PND, together with drift velocities reflecting slower passage from one PND to another. We derive conditions on the field configuration that are necessary for such an equilibrium to occur. We demonstrate agreement of our analytic formulas with full numerical solutions of the Landau-Lifshitz equation in the appropriate regime.

Original languageEnglish (US)
Article number063018
JournalPhysical Review D
Volume108
Issue number6
DOIs
StatePublished - Sep 15 2023

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint

Dive into the research topics of 'Dynamics of ultrarelativistic charged particles with strong radiation reaction. I. Aristotelian equilibrium state'. Together they form a unique fingerprint.

Cite this