Reduction of order, resummation, and radiation reaction
dc.contributor.author | Ekman, R | |
dc.contributor.author | Heinzl, Thomas | |
dc.contributor.author | Ilderton, A | |
dc.date.accessioned | 2021-10-15T13:06:50Z | |
dc.date.available | 2021-10-15T13:06:50Z | |
dc.date.issued | 2021-08-06 | |
dc.identifier.issn | 2470-0010 | |
dc.identifier.issn | 2470-0029 | |
dc.identifier.other | 036002 | |
dc.identifier.uri | http://hdl.handle.net/10026.1/18080 | |
dc.description.abstract |
The Landau-Lifshitz equation is the first in an infinite series of approximations to the Lorentz-Abraham-Dirac equation obtained from "reduction of order."We show that this series is divergent, predicting wildly different dynamics at successive perturbative orders. Iterating reduction of order ad infinitum in a constant crossed field, we obtain an equation of motion which is free of the erratic behavior of perturbation theory. We show that Borel-Padé resummation of the divergent series accurately reproduces the dynamics of this equation, using as little as two perturbative coefficients. Comparing with the Lorentz-Abraham-Dirac equation, our results show that for large times the optimal order of truncation typically amounts to using the Landau-Lifshitz equation, but that this fails to capture the resummed dynamics over short times. | |
dc.format.extent | 036002- | |
dc.language | en | |
dc.language.iso | en | |
dc.publisher | American Physical Society | |
dc.title | Reduction of order, resummation, and radiation reaction | |
dc.type | journal-article | |
dc.type | Journal Article | |
plymouth.author-url | https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000684261000003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11bb513d99f797142bcfeffcc58ea008 | |
plymouth.issue | 3 | |
plymouth.volume | 104 | |
plymouth.publication-status | Published online | |
plymouth.journal | Physical Review D | |
dc.identifier.doi | 10.1103/physrevd.104.036002 | |
plymouth.organisational-group | /Plymouth | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/EXTENDED UoA 10 - Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/UoA10 Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/Users by role | |
plymouth.organisational-group | /Plymouth/Users by role/Academics | |
dcterms.dateAccepted | 2021-07-05 | |
dc.rights.embargodate | 2021-10-16 | |
dc.identifier.eissn | 2470-0029 | |
dc.rights.embargoperiod | Not known | |
rioxxterms.versionofrecord | 10.1103/physrevd.104.036002 | |
rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
rioxxterms.licenseref.startdate | 2021-08-06 | |
rioxxterms.type | Journal Article/Review |