English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In recent work we presented an explicit and non-perturbative derivation ofthe classical radiation reaction force for a cut-off modelled by a specialchoice of tubes of finite radius around the charge trajectories. In this paper,we provide a further, simpler and so-called reduced radiation reaction modeltogether with a systematic numerical comparison between both the respectiveradiation reaction forces and the Landau-Lifschitz force as a reference. Weexplicitly construct the numerical flow for the new forces and present thenumerical integrator used in the simulations, a Gauss-Legendre method adaptedfor delay equations. For the comparison, we consider the cases of a constantelectric field, a constant magnetic field, and a plane wave. In all thesecases, the deviations between the three force laws are shown to be small. Thisexcellent agreement is an argument for plausibility of both new equations butalso means that an experimental differentiation remains hard. Furthermore, wediscuss the effect of the tube radius on the trajectories, which turns out tobe small in the regarded regimes. We conclude with a comparison of thenumerical cost of the corresponding integrators and find that the integrator ofthe reduced radiation reaction to be numerically most and the integrator ofLandau-Lifschitz least efficient.

A first numerical investigation of a recent radiation reaction model and comparison to the Landau-Lifschitz model