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  • 1
    Electronic Resource
    Electronic Resource
    The electrodynamics and statistical mechanics of linear plasma response functions (1969)
    Springer
    Journal of statistical physics 1 (1969), S. 415-466 
    Details
    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
    URL: http://dx.doi.org/10.1007/BF01106580
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Response function of the second kind in many-body systems (1993)
    Springer
    Journal of statistical physics 70 (1993), S. 887-898 
    Details
    ISSN: 1572-9613
    Keywords: Response function ; correlations ; dynamical structure function ; quadratic response function ; fluctuation-dissipation theorem ; plasma ; electron gas ; many-body systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We analyze a new type of response function which portrays the properties of a system perturbed by an external field in terms of the perturbed two-point correlations of density fluctuations rather than in terms of perturbed averages of physical quantities. This “response function of the second kind” satisfies both fluctuation-dissipation-like theorems, relating it to three-point equilibrium functions, and hierarchical relationship linking it to conventional quadratic (rather than linear) response functions. In the equal-time limit, when the two density fluctuations are observed at the same time, the response function of the second kind is intimately connected to the two-particle correlation function of kinetic theory. This linkage opens an avenue for developing novel approximation techniques for correlated many-body systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01053598
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    Paper (German National Licenses)
    Fulltext
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