A new formulation and simplified derivation of the dispersion function for a plasma with a kappa velocity distribution

Journal Article · Wed Jul 15 00:00:00 EDT 2009 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3179807· OSTI ID:21277290

Mace, R L; Hellberg, M A ^[1]

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1. School of Physics, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000 (South Africa)

A simplified derivation of the relationship between the dispersion function for a plasma with a kappa velocity distribution and the Gauss hypergeometric function is presented. This derivation relies on only a few standard integrals. It naturally leads to a new integral representation for the dispersion function, which readily yields the power and Laurent series for it. The new integral representation is shown to be closely related to the Gordeyev integral for a kappa distribution.

• OSTI ID: 21277290
• Journal Information: Physics of Plasmas, Vol. 16, Issue 7; Other Information: DOI: 10.1063/1.3179807; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DISPERSION RELATIONS
DISTRIBUTION
HYPERGEOMETRIC FUNCTIONS
PLASMA
VELOCITY