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    Current-conserving relativistic linear response for collisional plasmas

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    Author
    Formanek, Martin
    Grayson, Christopher
    Rafelski, Johann cc
    Müller, Berndt
    Affiliation
    Department of Physics, The University of Arizona
    Issue Date
    2021-11
    Keywords
    Collisional plasma
    Current conservation
    Electric susceptibility
    Plasma physics
    Polarization tensor
    
    Metadata
    Show full item record
    Publisher
    Elsevier BV
    Citation
    Formanek, M., Grayson, C., Rafelski, J., & Müller, B. (2021). Current-conserving relativistic linear response for collisional plasmas. Annals of Physics, 434.
    Journal
    Annals of Physics
    Rights
    © 2021 Elsevier Inc. All rights reserved.
    Collection Information
    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.
    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.
    Note
    24 month embargo; available online: 15 September 2021
    ISSN
    0003-4916
    DOI
    10.1016/j.aop.2021.168605
    Version
    Final accepted manuscript
    Sponsors
    U.S. Department of Energy
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.aop.2021.168605
    Scopus Count
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