Current-conserving relativistic linear response for collisional plasmas
AffiliationDepartment of Physics, The University of Arizona
MetadataShow full item record
CitationFormanek, M., Grayson, C., Rafelski, J., & Müller, B. (2021). Current-conserving relativistic linear response for collisional plasmas. Annals of Physics, 434.
JournalAnnals of Physics
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Collection InformationThis 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 firstname.lastname@example.org.
AbstractWe 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.
Note24 month embargo; available online: 15 September 2021
VersionFinal accepted manuscript
SponsorsU.S. Department of Energy