Nonextensivity in the Solar Neighborhood

Abstract

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.

5 pages, 4 figures: EPL accepted

References in corpus (6)

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• A nonextensive approach to the stellar rotational evolution I. F and G type stars
• Stellar age dependence of the nonextensive magnetic braking index: a test for the open cluster $\alpha$Per
• The limit behavior of the evolution of Tsallis entropy in self-gravitating systems
• A nonextensive insight to the stellar initial mass function
• Non-extensive processes associated with heating of the Galactic disc