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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 1 (1969), S. 415-466 
    ISSN: 1572-9613
    Keywords: plasmas ; linear response functions ; response functions ; dielectric function ; electrodynamics ; Kramer-Kronig relations ; sum rules ; Onsager relation ; fluctuation-dissipation theorem ; transverse interaction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The purpose of this paper is to review and to extend, wherever possible, the Kramers-Kronig relations, sum rules, and symmetry properties for the electrodynamic transport tensors of a linear plasma medium. For complete generality, we consider both nonrelativistic and relativistic plasmas with and without external magnetic fields. Our study is carried out first within the framework of classical electrodynamics. We then exploit the statistical-mechanical fluctuation-dissipation theorem to further obtain the Onsager symmetry relations and Kubo sum-rule frequency moments. Of special significance is the emergence of a variety of new Kramers-Kronig formulae andf-sum rules for the inverse dispersion tensor.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 6 (1972), S. 87-118 
    ISSN: 1572-9613
    Keywords: Plasmas ; quadratic response functions ; external conductivity ; dielectric function ; triplet correlation function ; ternary correlation function ; Mayer cluster expansion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using statistical mechanical perturbation theory, the second-order average current density response is calculated for magnetic field-free classical plasmas. A dynamical fluctuation-dissipation theorem is then derived, thus establishing a connection between triplet microscopic current-current correlations and quadratic response functions; it also leads to a static fluctuation-dissipation theorem which provides a dielectric description of the equilibrium ternary correlation. A comparison of the latter with its expansion in terms of the Mayer pair correlation clusters is discussed.
    Type of Medium: Electronic Resource
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