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

Journal metrics

  • IF value: 1.329 IF 1.329
  • IF 5-year<br/> value: 1.394 IF 5-year
    1.394
  • CiteScore<br/> value: 1.27 CiteScore
    1.27
  • SNIP value: 0.903 SNIP 0.903
  • SJR value: 0.709 SJR 0.709
  • IPP value: 1.455 IPP 1.455
  • h5-index value: 20 h5-index 20
Nonlin. Processes Geophys., 25, 77-88, 2018
https://doi.org/10.5194/npg-25-77-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Review article
07 Feb 2018
Derivation of the entropic formula for the statistical mechanics of space plasmas
George Livadiotis Southwest Research Institute, Space Science and 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 associated with the framework of nonextensive statistical mechanics. Indeed, the kappa distribution is derived by maximizing the q entropy of Tsallis, under the constraints of the canonical ensemble. However, the question remains as to what the physical origin of this entropic formulation is. 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., 25, 77-88, https://doi.org/10.5194/npg-25-77-2018, 2018.
Publications Copernicus
Download
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.
Kappa distributions are frequently used for modeling space plasmas, but their physical origin...
Share