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| Titel |
Consequences of entropy bifurcation in non-Maxwellian astrophysical environments |
| VerfasserIn |
M. P. Leubner |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 15, no. 4 ; Nr. 15, no. 4 (2008-07-04), S.531-540 |
| Datensatznummer |
250012705
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| Publikation (Nr.) |
 copernicus.org/npg-15-531-2008.pdf |
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| Zusammenfassung |
| Non-extensive systems, accounting for long-range interactions
and correlations, are fundamentally related to non-Maxwellian
distributions where a duality of equilibria appears in two
families, the non-extensive thermodynamic equilibria and the
kinetic equilibria. Both states emerge out of particular entropy
generalization leading to a class of probability distributions,
where bifurcation into two stationary states is naturally introduced
by finite positive or negative values of the involved entropic index
kappa. The limiting Boltzmann-Gibbs-Shannon state
(BGS), neglecting any kind of interactions within the system, is subject
to infinite entropic index and thus characterized by self-duality.
Fundamental consequences of non-extensive entropy bifurcation, manifest
in different astrophysical environments, as particular core-halo
patterns of solar wind velocity distributions, the probability
distributions of the differences of the fluctuations in plasma
turbulence as well as the structure of density distributions in
stellar gravitational equilibrium are discussed. In all cases
a lower entropy core is accompanied by a higher entropy halo
state as compared to the standard BGS solution. Data analysis
and comparison with high resolution observations significantly
support the theoretical requirement of non-extensive entropy
generalization when dealing with systems subject to long-range
interactions and correlations. |
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