Nonextensive Statistical Mechanics: Some Links with Astronomical Phenomena
A variety of astronomical phenomena appear to not satisfy the ergodic hypothesis in the relevant stationary state, if any. As such, there is no reason for expecting the applicability of Boltzmann–Gibbs (BG) statistical mechanics. Some of these phenomena appear to follow, instead, nonextensive statis...
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| Formato: | Articulo |
| Lenguaje: | Inglés |
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2004
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/130646 |
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I19-R120-10915-130646 |
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dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Astronomía Física nonextensive statistical mechanics Tsallis entropy solar neutrino problem cosmic rays polytropes |
| spellingShingle |
Astronomía Física nonextensive statistical mechanics Tsallis entropy solar neutrino problem cosmic rays polytropes Tsallis, Constantino Prato, Domingo Plastino, Ángel Ricardo Nonextensive Statistical Mechanics: Some Links with Astronomical Phenomena |
| topic_facet |
Astronomía Física nonextensive statistical mechanics Tsallis entropy solar neutrino problem cosmic rays polytropes |
| description |
A variety of astronomical phenomena appear to not satisfy the ergodic hypothesis in the relevant stationary state, if any. As such, there is no reason for expecting the applicability of Boltzmann–Gibbs (BG) statistical mechanics. Some of these phenomena appear to follow, instead, nonextensive statistical mechanics. In the same manner that the BG formalism is based on the entropy S<sub>BG</sub> = −k∑<sub>i</sub>p<sub>i</sub> ln p<sub>i</sub>, the nonextensive one is based on the form S<sub>q</sub> = k(1 −∑<sub>i</sub>p<sub>i</sub><sup>q</sup>)/(q− 1) (with S₁ = S<sub>BG</sub>). The stationary states of the former are characterized by an exponential dependence on the energy, whereas those of the latter are characterized by an (asymptotic) power law. A brief review of this theory is given here, as well as of some of its applications, such as the solar neutrino problem, polytropic self-gravitating systems, galactic peculiar velocities, cosmic rays and some cosmological aspects. In addition to these, an analogy with the Keplerian elliptic orbits versus the Ptolemaic epicycles is developed, where we show that optimizing S<sub>q</sub> with a few constraints is equivalent to optimizing S<sub>BG</sub> with an infinite number of constraints. |
| format |
Articulo Articulo |
| author |
Tsallis, Constantino Prato, Domingo Plastino, Ángel Ricardo |
| author_facet |
Tsallis, Constantino Prato, Domingo Plastino, Ángel Ricardo |
| author_sort |
Tsallis, Constantino |
| title |
Nonextensive Statistical Mechanics: Some Links with Astronomical Phenomena |
| title_short |
Nonextensive Statistical Mechanics: Some Links with Astronomical Phenomena |
| title_full |
Nonextensive Statistical Mechanics: Some Links with Astronomical Phenomena |
| title_fullStr |
Nonextensive Statistical Mechanics: Some Links with Astronomical Phenomena |
| title_full_unstemmed |
Nonextensive Statistical Mechanics: Some Links with Astronomical Phenomena |
| title_sort |
nonextensive statistical mechanics: some links with astronomical phenomena |
| publishDate |
2004 |
| url |
http://sedici.unlp.edu.ar/handle/10915/130646 |
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AT tsallisconstantino nonextensivestatisticalmechanicssomelinkswithastronomicalphenomena AT pratodomingo nonextensivestatisticalmechanicssomelinkswithastronomicalphenomena AT plastinoangelricardo nonextensivestatisticalmechanicssomelinkswithastronomicalphenomena |
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Repositorios |
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