Exact solutions in radiation reaction and the radiation-free direction

Abstract

We present new exact solutions of the Landau-Lifshitz and higher-order Landau-Lifshitz equations describing particle motion, with radiation reaction, in intense electromagnetic fields. Through these solutions and others we compare the phenomenological predictions of different equations in the context of the conjectured `radiation-free direction' (RFD). We confirm analytically in several cases that particle orbits predicted by the Landau-Lifshitz equation indeed approach the RFD at extreme intensities, and give time-resolved signals of this behaviour in radiation spectra.

arXiv commentv3: typos corrected

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Cited by in corpus (12)

• Advances in QED with intense background fields
• Charged particle motion and radiation in strong electromagnetic fields
• Strong-Field QED Experiments using the BELLA PW Laser Dual Beamlines
• Reduction of order, resummation and radiation reaction
• Resummation of quantum radiation reaction and induced polarization
• Wave scattering event shapes at high energies
• Dynamics of ultrarelativistic charged particles with strong radiation reaction. I. Aristotelian equilibrium state
• High-order corrections to the radiation-free dynamics of an electron in the strongly radiation-dominated regime
• Reduction of Order and Transseries Structure of Radiation Reaction
• Dynamics of ultrarelativistic charged particles with strong radiation reaction. II. Entry into Aristotelian equilibrium
• Novel Signatures of Radiation Reaction in Electron-Laser Sidescattering
• Self-force on a charged particle in an external scalar field