ISSN:
1089-7674
Quelle:
AIP Digital Archive
Thema:
Physik
Notizen:
Space and astrophysical plasmas typically possess particle distribution functions with a power-law tail (in energy) that are well modeled by generalized Lorentzian distributions with an associated spectral index κ. Dispersion equations for linear waves of any mode in a plasma described by a Lorentzian-type particle distribution involve the modified plasma dispersion function Zκ*, a special function analogous to the plasma dispersion function Z that arises when the particle distribution is Maxwellian. The function Zκ*, originally defined by Summers and Thorne [Phys. Fluids B 3, 1835 (1991)] for integral values of κ, was recently generalized to real values of κ by Mace and Hellberg [Phys. Plasmas 2, 2098 (1995)]. In the present paper, a general formula is derived for the modified plasma dispersion function Zκ* corresponding to half-integral values of κ, and simple, explicit closed-form expressions are given for the functions Z3/2*, Z5/2*, Z7/2*, Z9/2*, and Z11/2*. These results complement the simple, closed-form expressions for the functions Zκ*, for κ=1, 2, 3,..., that already exist in the literature. © 1996 American Institute of Physics.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.871967
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