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

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.

arXiv commentAccepted by PR.D

References in corpus (14)

• Extremely high-intensity laser interactions with fundamental quantum systems
• The Second Fermi Large Area Telescope Catalog of Gamma-ray Pulsars
• The First Fermi Large Area Telescope Catalog of Gamma-ray Pulsars
• Charged particle motion and radiation in strong electromagnetic fields
• A Rigorous Derivation of Electromagnetic Self-force
• Pulsar gamma-ray emission in the radiation reaction regime
• Radiation dominated particle and plasma dynamics
• Exact solutions in radiation reaction and the radiation-free direction
• Asymptotic electron motion in strong radiation-dominated regime
• Three-dimensional dissipative pulsar magnetospheres with Aristotelian electrodynamics
• Radiative pulsar magnetospheres: oblique rotators
• High-order corrections to the radiation-free dynamics of an electron in the strongly radiation-dominated regime
• Structure of Aristotelian Electrodynamics
• Dynamics of ultrarelativistic charged particles with strong radiation reaction. II. Entry into Aristotelian equilibrium

Cited by in corpus (4)

• High-order corrections to the radiation-free dynamics of an electron in the strongly radiation-dominated regime
• Dynamics of ultrarelativistic charged particles with strong radiation reaction. II. Entry into Aristotelian equilibrium
• Towards Modelling AR Sco: Generalised Particle Dynamics and Strong Radiation-Reaction Regimes
• Towards Modelling AR Sco: Calibration -- Reproducing High-Energy Pulsar Emission and Testing Convergence to Aristotelian Electrodynamics