Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 5 min ago
PreprintCC BY 4.0arXiv

Semi-analytical representation of the Gaunt-modified Landau-Lifshitz equation in a plane wave

  • S. A. Shekhanov
  • C. P. Ridgers
Open at sourcePDFDOICite

Abstract

We analyze electron dynamics in a plane electromagnetic wave using the Landau-Lifshitz equation with a quantum radiation reaction correction modelled by a Gaunt factor. In this geometry, the quantum parameter χ depends solely on the lightfront momentum, allowing the modified equation of motion to retain the integrable structure of the classical problem. We derive a semi-analytical solution for the energy evolution and the four-velocity, which reduces to the known classical result in the appropriate limit. The results provide an analytical and deterministic description of semiclassical radiation reaction in plane-wave fields.

Related

  1. Asymptotic stability of Bloch wall for dispersive Landau-Lifshitz equation
    Slim Ibrahim, Christof Melcher, Ikkei Shimizu
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. Finite-energy travelling waves for the easy-plane Landau-Lifshitz equation
    Rowan Juneman, Ze Li, Juncheng Wei
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  3. The stochastic Landau-Lifshitz-Baryakhtar equation in critical spaces
    Federico Butori, Foivos Evangelopoulos-Ntemiris, Lorenzo Marino +1
    arXivPreprintCC BY 4.0Full textProbabilityarXiv
  4. Small-Time Asymptotic Behavior of the Stochastic Landau--Lifshitz--Baryakhtar Equation
    Utpal Manna, Sangram Satpathi
    arXivPreprintarXiv licenceFull textAnalysis & PDEsProbabilityarXiv
  5. Asymptotic stability of a Bloch skyrmion for the Landau-Lifshitz-Gilbert equation
    Jordan Berthoumieu, Raphaël Côte
    HALPreprintCC BY-NC-SA 4.0Full textAnalysis & PDEsHALarXiv

Cite

BibTeXRIS
BibTeX
@misc{shekhanov2026semianalytical,
  title = {{Semi-analytical representation of the Gaunt-modified Landau-Lifshitz equation in a plane wave}},
  author = {S. A. Shekhanov and C. P. Ridgers},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2606.05205},
  eprint = {2606.05205},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.05205},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Semi-analytical representation of the Gaunt-modified Landau-Lifshitz equation in a plane wave
AU  - S. A. Shekhanov
AU  - C. P. Ridgers
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2606.05205
UR  - https://arxiv.org/abs/2606.05205
AB  - We analyze electron dynamics in a plane electromagnetic wave using the Landau-Lifshitz equation with a quantum radiation reaction correction modelled by a Gaunt factor. In this geometry, the quantum parameter χ depends solely on the lightfront momentum, allowing the modified equation of motion to retain the integrable structure of the classical problem. We derive a semi-analytical solution for the energy evolution and the four-velocity, which reduces to the known classical result in the appropriate limit. The results provide an analytical and deterministic description of semiclassical radiation reaction in plane-wave fields.
ER  -