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

Livadiotis, George

doi:https://doi.org/10.5194/npg-25-77-2018

Articles | Volume 25, issue 1

https://doi.org/10.5194/npg-25-77-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Special issue:

Nonlinear Waves and Chaos

https://doi.org/10.5194/npg-25-77-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 25, issue 1

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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Final revised paper (published on 07 Feb 2018)
Preprint (discussion started on 25 Sep 2017)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'Reviewer's Comments for NPG-2017-54', Anonymous Referee #1, 16 Oct 2017
- AC1: 'Response to Reviewer No_1', George Livadiotis, 16 Nov 2017
- AC4: 'Final Response to referee No1', George Livadiotis, 22 Nov 2017
RC2: 'Referee's comments', Anonymous Referee #2, 09 Nov 2017
- AC2: 'Response to Reviewer No_2', George Livadiotis, 16 Nov 2017
- AC5: 'Final Response to referee No2', George Livadiotis, 22 Nov 2017
RC3: 'Review of "Derivation of the entropic formula for the statistical mechanics of space plasmas"', Anonymous Referee #3, 13 Nov 2017
- AC3: 'Response to Reviewer No_3', George Livadiotis, 16 Nov 2017
- AC6: 'Final Response to referee No3', George Livadiotis, 22 Nov 2017

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Anna Wenzel on behalf of the Authors (22 Nov 2017) Author's response

ED: Referee Nomination & Report Request started (23 Nov 2017) by Yasuhito Narita

RR by Anonymous Referee #2 (08 Dec 2017)

ED: Reconsider after major revisions (further review by editor and referees) (11 Dec 2017) by Yasuhito Narita

AR by Anna Wenzel on behalf of the Authors (18 Dec 2017) Author's response

ED: Referee Nomination & Report Request started (18 Dec 2017) by Yasuhito Narita

RR by Anonymous Referee #2 (31 Dec 2017)

ED: Publish as is (01 Jan 2018) by Yasuhito Narita

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.