Current-conserving relativistic linear response for collisional plasmas
dc.contributor.author | Formanek, Martin | |
dc.contributor.author | Grayson, Christopher | |
dc.contributor.author | Rafelski, Johann | |
dc.contributor.author | Müller, Berndt | |
dc.date.accessioned | 2021-10-13T20:58:28Z | |
dc.date.available | 2021-10-13T20:58:28Z | |
dc.date.issued | 2021-11 | |
dc.identifier.citation | Formanek, M., Grayson, C., Rafelski, J., & Müller, B. (2021). Current-conserving relativistic linear response for collisional plasmas. Annals of Physics, 434. | en_US |
dc.identifier.issn | 0003-4916 | |
dc.identifier.doi | 10.1016/j.aop.2021.168605 | |
dc.identifier.uri | http://hdl.handle.net/10150/662071 | |
dc.description.abstract | We investigate the response of a relativistic plasma to electromagnetic fields in the framework of the Boltzmann equation incorporating a collision term in the relaxation rate approximation selected in a form assuring current conservation. We obtain an explicit solution for the linearized perturbation of the Fermi–Dirac equilibrium distribution in terms of the average relaxation rate κ. We study the resulting covariant, gauge invariant, and current conserving form of the polarization tensor in the ultrarelativistic and non-relativistic limits. We evaluate the susceptibility in the ultrarelativistic limit and explore their dependence on κ. Finally, we study the dispersion relations for the longitudinal and transverse poles of the propagator. We show that for κ>2ωp, where ωp is the plasma frequency, the plasma wave modes are overdamped. In the opposite case, κ≪ωp, the propagating plasma modes are weakly damped. | en_US |
dc.description.sponsorship | U.S. Department of Energy | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier BV | en_US |
dc.rights | © 2021 Elsevier Inc. All rights reserved. | en_US |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en_US |
dc.subject | Collisional plasma | en_US |
dc.subject | Current conservation | en_US |
dc.subject | Electric susceptibility | en_US |
dc.subject | Plasma physics | en_US |
dc.subject | Polarization tensor | en_US |
dc.title | Current-conserving relativistic linear response for collisional plasmas | en_US |
dc.type | Article | en_US |
dc.contributor.department | Department of Physics, The University of Arizona | en_US |
dc.identifier.journal | Annals of Physics | en_US |
dc.description.note | 24 month embargo; available online: 15 September 2021 | en_US |
dc.description.collectioninformation | This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu. | en_US |
dc.eprint.version | Final accepted manuscript | en_US |
dc.identifier.pii | S0003491621002116 | |
dc.source.journaltitle | Annals of Physics | |
dc.source.volume | 434 | |
dc.source.beginpage | 168605 |