Dispersion relations for a general anisotropic distribution function represented as a sum over Legendre polynomials

The dielectric tensor is obtained for a general anisotropic distribution function that is represented as a sum over Legendre polynomials. The result is valid over all of k-space. We obtain growth rates for the Weibel instability for some basic examples of distribution functions.

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Bibliographic Details
Published in:Physics of plasmas 2011-03, Vol.18 (3), p.034501-034501-4
Main Authors: Shaisultanov, Rashid, Eichler, David
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANISOTROPY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIELECTRIC PROPERTIES
DIELECTRIC TENSOR
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
ELECTRICAL PROPERTIES
FUNCTIONS
INSTABILITY
INSTABILITY GROWTH RATES
LEGENDRE POLYNOMIALS
PHYSICAL PROPERTIES
PLASMA INSTABILITY
POLYNOMIALS
TENSORS
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Description
Summary:The dielectric tensor is obtained for a general anisotropic distribution function that is represented as a sum over Legendre polynomials. The result is valid over all of k-space. We obtain growth rates for the Weibel instability for some basic examples of distribution functions.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.3559478