Details
| Original language | English |
|---|---|
| Article number | 315401 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 55 |
| Issue number | 31 |
| Early online date | 14 Jul 2022 |
| Publication status | Published - 5 Aug 2022 |
Abstract
We investigate the trajectories of point charges in the background of finite-action vacuum solutions of Maxwell's equations known as knot solutions. More specifically, we work with a basis of electromagnetic knots generated by the so-called 'de Sitter method'. We find a variety of behaviors depending on the field configuration and the parameter set used. This includes an acceleration of particles by the electromagnetic field from rest to ultrarelativistic speeds, a quick convergence of their trajectories into a few narrow cones asymptotically for sufficiently high value of the coupling, and a pronounced twisting and turning of trajectories in a coherent fashion. This work is part of an effort to improve the understanding of knotted electromagnetic fields and the trajectories of charged particles they generate, and may be relevant for experimental applications.
Keywords
- conformal invariance, electromagnetic knots, Maxwell's equations, trajectories of charged particles
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Statistics and Probability
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of Physics A: Mathematical and Theoretical, Vol. 55, No. 31, 315401, 05.08.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Trajectories of charged particles in knotted electromagnetic fields
AU - Kumar, Kaushlendra
AU - Lechtenfeld, Olaf
AU - Costa, Gabriel Picanço
N1 - Funding Information: KK thanks Deutscher Akademischer Austauschdienst (DAAD) for the Doctoral Research Grant 57381412.
PY - 2022/8/5
Y1 - 2022/8/5
N2 - We investigate the trajectories of point charges in the background of finite-action vacuum solutions of Maxwell's equations known as knot solutions. More specifically, we work with a basis of electromagnetic knots generated by the so-called 'de Sitter method'. We find a variety of behaviors depending on the field configuration and the parameter set used. This includes an acceleration of particles by the electromagnetic field from rest to ultrarelativistic speeds, a quick convergence of their trajectories into a few narrow cones asymptotically for sufficiently high value of the coupling, and a pronounced twisting and turning of trajectories in a coherent fashion. This work is part of an effort to improve the understanding of knotted electromagnetic fields and the trajectories of charged particles they generate, and may be relevant for experimental applications.
AB - We investigate the trajectories of point charges in the background of finite-action vacuum solutions of Maxwell's equations known as knot solutions. More specifically, we work with a basis of electromagnetic knots generated by the so-called 'de Sitter method'. We find a variety of behaviors depending on the field configuration and the parameter set used. This includes an acceleration of particles by the electromagnetic field from rest to ultrarelativistic speeds, a quick convergence of their trajectories into a few narrow cones asymptotically for sufficiently high value of the coupling, and a pronounced twisting and turning of trajectories in a coherent fashion. This work is part of an effort to improve the understanding of knotted electromagnetic fields and the trajectories of charged particles they generate, and may be relevant for experimental applications.
KW - conformal invariance
KW - electromagnetic knots
KW - Maxwell's equations
KW - trajectories of charged particles
UR - http://www.scopus.com/inward/record.url?scp=85134846212&partnerID=8YFLogxK
U2 - 10.1088/1751-8121/ac7c49
DO - 10.1088/1751-8121/ac7c49
M3 - Article
AN - SCOPUS:85134846212
VL - 55
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 31
M1 - 315401
ER -