Next Article in Journal
Information Technology Project Portfolio Implementation Process Optimization Based on Complex Network Theory and Entropy
Next Article in Special Issue
Initial Results of Testing Some Statistical Properties of Hard Disks Workload in Personal Computers in Terms of Non-Extensive Entropy and Long-Range Dependencies
Previous Article in Journal
Multiscale Entropy Analysis of Unattended Oximetric Recordings to Assist in the Screening of Paediatric Sleep Apnoea at Home
Previous Article in Special Issue
Peierls–Bogolyubov’s Inequality for Deformed Exponentials
Open AccessArticle

On the Simplification of Statistical Mechanics for Space Plasmas

Division of Space Science and Engineering, Southwest Research Institute, San Antonio, TX 78238, USA
Entropy 2017, 19(6), 285;
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)
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
Show Figures

Figure 1

MDPI and ACS Style

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

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map

Back to TopTop