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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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https://doi.org/10.5194/npg-2017-54
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Review article
25 Sep 2017
Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Nonlinear Processes in Geophysics (NPG).
Derivation of the entropic formula for the statistical mechanics of space plasmas
George Livadiotis Southwest Research Institute, Space Science & Engineering, San Antonio, TX, USA
Abstract. Kappa distributions describe velocities and energies of plasma populations in space plasmas. The statistical origin of these distributions is the non-extensive statistical mechanics. Indeed, the kappa distribution is derived by maximizing the q-entropy of Tsallis under the constraints of canonical ensemble. However, there remains the question what is the physical origin of this entropic formulation. This paper shows that the q-entropy can be derived by adapting the additivity of energy and entropy.

Citation: Livadiotis, G.: Derivation of the entropic formula for the statistical mechanics of space plasmas, Nonlin. Processes Geophys. Discuss., https://doi.org/10.5194/npg-2017-54, in review, 2017.
George Livadiotis
George Livadiotis
George Livadiotis

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Short summary
Kappa distributions are frequently used for modeling space plasmas, but their physical origin remains unknown. Recently, we realize that the statistical origin of these distributions is not the classical Boltzmann entropy, but the Tsallis q-entropy. Thereafter, the question was about the physical origin of this entropic formula. Here we show that the q-entropy can be derived under first-principles, i.e., by considering that the energy and entropy are additive quantities under certain conditions.
Kappa distributions are frequently used for modeling space plasmas, but their physical origin...
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