Astronomy and Astrophysics – Astrophysics – Solar and Stellar Astrophysics
Scientific paper
2011-11-23
Astronomy and Astrophysics
Astrophysics
Solar and Stellar Astrophysics
5 pages, 4 figures: EPL accepted
Scientific paper
In the present study, we analyze the radial velocity distribution as a function of different stellar parameters such as stellar age, mass, rotational velocity and distance to the Sun for a sample of 6781 single low--mass field dwarf stars, located in the solar neighborhood. We show that the radial velocity distributions are best fitted by $q$--Gaussians that arise within the Tsallis nonextensive statistics. The obtained distributions cannot be described by the standard Gaussian that emerges within Boltzmann-Gibbs (B--G) statistical mechanics. The results point to the existence of a hierarchical structure in phase space, in contrast to the uniformly occupied phase space of B--G statistical mechanics, driven by the $q$--Central Limit Theorem, consistent with nonextensive statistical mechanics.
de Freitas D. B.
de Medeiros Jose Renan
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