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  • 1
    Electronic Resource
    Electronic Resource
    Nonlinear fluctuation-dissipation theorem (1972)
    Springer
    Journal of statistical physics 6 (1972), S. 87-118 
    Details
    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
    URL: http://dx.doi.org/10.1007/BF01023681
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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)
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