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.
the Creative Commons Attribution 4.0 License.
Special issue:
https://doi.org/10.5194/npg-25-77-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Review article
| 
07 Feb 2018
Review article |
| 07 Feb 2018
| 07 Feb 2018
Derivation of the entropic formula for the statistical mechanics of space plasmas
George Livadiotis
CORRESPONDING AUTHOR
Southwest Research Institute, Space Science and Engineering, San
Antonio, TX, USA
Related authors
George Livadiotis
Ann. Geophys., 34, 1145–1158, https://doi.org/10.5194/angeo-34-1145-2016, https://doi.org/10.5194/angeo-34-1145-2016, 2016
Short summary
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The paper develops a consistent model for the anisotropic Maxwell–Jüttner distribution. This is the velocity distribution in a gas of relativistic particles, where the temperature is not equi-distributed in all degrees of freedom. The physical requirements necessary for modeling this distribution are provided. The known models are examined showing that they do not fulfill these requirements, while a new model is constructed and studied that is consistent with all the required conditions.
George Livadiotis
Ann. Geophys., 34, 1145–1158, https://doi.org/10.5194/angeo-34-1145-2016, https://doi.org/10.5194/angeo-34-1145-2016, 2016
Short summary
Short summary
The paper develops a consistent model for the anisotropic Maxwell–Jüttner distribution. This is the velocity distribution in a gas of relativistic particles, where the temperature is not equi-distributed in all degrees of freedom. The physical requirements necessary for modeling this distribution are provided. The known models are examined showing that they do not fulfill these requirements, while a new model is constructed and studied that is consistent with all the required conditions.
Related subject area
Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Ionosphere, magnetosphere, planetary science, solar science
Magnetospheric chaos and dynamical complexity response during storm time disturbance
Compacting the description of a time-dependent multivariable system and its multivariable driver by reducing the state vectors to aggregate scalars: the Earth's solar-wind-driven magnetosphere
The transient variation in the complexes of the low-latitude ionosphere within the equatorial ionization anomaly region of Nigeria
Irewola Aaron Oludehinwa, Olasunkanmi Isaac Olusola, Olawale Segun Bolaji, Olumide Olayinka Odeyemi, and Abdullahi Ndzi Njah
Nonlin. Processes Geophys., 28, 257–270, https://doi.org/10.5194/npg-28-257-2021, https://doi.org/10.5194/npg-28-257-2021, 2021
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The MLE and ApEn values of the Dst indicate that chaotic and dynamical complexity responses are high during minor geomagnetic storms, reduce at moderate geomagnetic storms and decline further during major geomagnetic storms.
However, the MLE and ApEn values obtained from solar wind electric field (VBs) indicate that chaotic and dynamical complexity responses are high with no significant difference between the periods that are associated with minor, moderate and major geomagnetic storms.
Joseph E. Borovsky and Adnane Osmane
Nonlin. Processes Geophys., 26, 429–443, https://doi.org/10.5194/npg-26-429-2019, https://doi.org/10.5194/npg-26-429-2019, 2019
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A methodology is developed to simplify the mathematical description of activity in a time-dependent driven system. The method describes the response in the system that is most-closely related to the driver. This reduced description has advantages: low noise, high prediction efficiency, linearity in the described system response to the driver, and compactness. The analysis of the Earth’s magnetospheric system is demonstrated.
A. B. Rabiu, B. O. Ogunsua, I. A. Fuwape, and J. A. Laoye
Nonlin. Processes Geophys., 22, 527–543, https://doi.org/10.5194/npg-22-527-2015, https://doi.org/10.5194/npg-22-527-2015, 2015
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This paper describes chaos and dynamical complexity to reveal the state of the underlying dynamics of the ionosphere on a daily basis. This is to show the daily/transient variations of chaoticity and dynamical complexity so as to reveal the degree of changes that occur in the ionospheric process and dynamics from one day to another. This paper will point the space science community in the direction of the use of chaoticity and dynamical complexity as indices to describe the process and dynamics.
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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.
Kappa distributions are frequently used for modeling space plasmas, but their physical origin...
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