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  • 1
    Electronic Resource
    Electronic Resource
    Exact evaluation of the quadratic response tensor for three-wave interactions in Maxwellian plasmas (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 1279-1287 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The quadratic response tensor provides a complete description of second-order wave processes in a nonlinear medium. The first exact expression is derived for the quadratic response tensor of a warm collisionless plasma, whose particles have a nonrelativistic Maxwellian velocity distribution. The exact expression is written in terms of a set of generalized plasma dispersion functions which satisfy simple symmetry properties and recursion relations and which can be expressed in terms of the standard nonrelativistic plasma dispersion function. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.872786
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Generalized plasma dispersion functions (1998)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 39 (1998), S. 3678-3693 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Generalized plasma dispersion functions have recently arisen in the derivation of an exact expression for the quadratic response tensor for a plasma with constituent species having Maxwellian velocity distributions. A range of mathematical properties satisfied by the generalized plasma dispersion functions are derived here, including recursion relations, series expansions, and approximate analytic forms, including Padé approximants. These properties are of central importance to the application of the exact quadratic response tensor to descriptions of second-order processes in weak and strong turbulence theory, such as three-wave interactions in warm plasmas. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532460
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    Paper (German National Licenses)
    Fulltext
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