title: Improving the accuracy of simulation of radiation-reaction effects with implicit Runge-Kutta-Nyström methods.
abstract: The Landau-Lifshitz equation provides an efficient way to account for the effects of radiation reaction without acquiring the nonphysical solutions typical for the Lorentz-Abraham-Dirac equation. We solve the Landau-Lifshitz equation in its covariant four-vector form in order to control both the energy and momentum of radiating particles. Our study reveals that implicit time-symmetric collocation methods of the Runge-Kutta-Nyström type are superior in accuracy and better at maintaining the mass-shell condition than their explicit counterparts. We carry out an extensive study of numerical accuracy by comparing the analytical and numerical solutions of the Landau-Lifshitz equation. Finally, we present the results of the simulation of particle scattering by a focused laser pulse. Due to radiation reaction, particles are less capable of penetrating into the focal region compared to the case where radiation reaction is neglected. Our results are important for designing forthcoming experiments with high intensity laser fields.
authors.affiliation: Ludwig-Maximilians Universität, Department of Computational and Plasma Physics, München 80539, Germany.
authors.forename: N V
authors.initials: NV
authors.lastname: Elkina
authors.affiliation: National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Department of Theoretical Nuclear Physics, Moscow 115409, Russia.
authors.forename: A M
authors.initials: AM
authors.lastname: Fedotov
authors.affiliation: Ludwig-Maximilians Universität, Department of Computational and Plasma Physics, München 80539, Germany.
authors.forename: C
authors.initials: C
authors.lastname: Herzing
authors.affiliation: Ludwig-Maximilians Universität, Department of Computational and Plasma Physics, München 80539, Germany.
authors.forename: H
authors.initials: H
authors.lastname: Ruhl
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008433:Mathematics / Q000379:methods; D008956:Models, Chemical; D009716:Numerical Analysis, Computer-Assisted; D017785:Photons; D011868:Radioisotopes / Q000032:analysis* / Q000737:chemistry*
chemical_list: D011868:Radioisotopes