Articles | Volume 25, issue 1
https://doi.org/10.5194/npg-25-77-2018
Special issue:
https://doi.org/10.5194/npg-25-77-2018
Review article
 | 
07 Feb 2018
Review article |  | 07 Feb 2018

Derivation of the entropic formula for the statistical mechanics of space plasmas

George Livadiotis

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Cited articles

Abe, S.: Axioms and uniqueness theorem for Tsallis entropy, Phys. Lett. A, 271, 74–79, 2000. 
Abe, S. and Suzuki, N.: Itineration of the Internet over nonequilibrium stationary states in Tsallis statistics, Phys. Rev. E, 67, 016106, , doi: https://doi.org/10.1103/PhysRevE.67.016106, 2003. 
Andricioaei, I. and Straub, J. E.: Generalized simulated annealing algorithms using Tsallis statistics: application to conformational optimization of a tetrapeptide, Phys. Rev. E, 53, R3055–R3058, 1996. 
Baluku, T. K., Hellberg, M. A., Kourakis, I., and Saini, N. S.: Dust ion acoustic solitons in a plasma with kappa-distributed electrons, Phys. Plasmas, 17, 053702, https://doi.org/10.1063/1.3400229, 2010. 
Beck, C. and Schlögl, F.: Thermodynamics of Chaotic Systems, Cambridge University Press, Cambridge, 1993. 
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Short summary
Kappa distributions are frequently used for modeling space plasmas, but their physical origin remains unknown. Recently we realized 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.