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Comment on “Mathematical and physical aspects of Kappa velocity distribution” [Phys. Plasmas 14, 110702 (2007)]

Physics of Plasmas · 2009 · Vol. 16(9)
M. A. HellbergR. L. MaceT. K. BalukuI. KourakisN. S. Saini

Abstract

A recent paper [L.-N. Hau and W.-Z. Fu, Phys. Plasmas 14, 110702 (2007)] deals with certain mathematical and physical properties of the kappa distribution. We comment on the authors’ use of a form of distribution function that is different from the “standard” form of the kappa distribution, and hence their results, inter alia for an expansion of the distribution function and for the associated number density in an electrostatic potential, do not fully reflect the dependence on κ that would be associated with the conventional kappa distribution. We note that their definition of the kappa distribution function is also different from a modified distribution based on the notion of nonextensive entropy.

Statistical Mechanics and EntropyEarthquake Detection and AnalysisDust and Plasma Wave PhenomenaPhysicsKappaDistribution functionDistribution (mathematics)Statistical physicsPlasmaEntropy (arrow of time)Function (biology)Quantum mechanicsMathematical analysis

Funding

  • Engineering and Physical Sciences Research Council
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370
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References
A survey of low-energy electrons in the evening sector of the magnetosphere with OGO 1 and OGO 3
Journal of Geophysical Research Atmospheres · 1968 · 1,812 citations
Principles of Plasma Physics
American Journal of Physics · 1973 · 2,378 citations
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