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Entropy 2017, 19(6), 285; doi:10.3390/e19060285

On the Simplification of Statistical Mechanics for Space Plasmas

Division of Space Science and Engineering, Southwest Research Institute, San Antonio, TX 78238, USA
Received: 17 May 2017 / Revised: 15 June 2017 / Accepted: 16 June 2017 / Published: 18 June 2017
(This article belongs to the Collection Advances in Applied Statistical Mechanics)
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Abstract

Space plasmas are frequently described by kappa distributions. Non-extensive statistical mechanics involves the maximization of the Tsallis entropic form under the constraints of canonical ensemble, considering also a dyadic formalism between the ordinary and escort probability distributions. This paper addresses the statistical origin of kappa distributions, and shows that they can be connected with non-extensive statistical mechanics without considering the dyadic formalism of ordinary/escort distributions. While this concept does significantly simplify the usage of the theory, it costs the definition of a dyadic entropic formulation, in order to preserve the consistency between statistical mechanics and thermodynamics. Therefore, the simplification of the theory by means of avoiding dyadic formalism is impossible within the framework of non-extensive statistical mechanics. View Full-Text
Keywords: kappa distributions; non-extensive statistical mechanics; space plasmas; entropy kappa distributions; non-extensive statistical mechanics; space plasmas; entropy
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Livadiotis, G. On the Simplification of Statistical Mechanics for Space Plasmas. Entropy 2017, 19, 285.

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