Sep 24 – 28, 2017
Kazimierz Dolny, Poland
Europe/Warsaw timezone

Tsallis non-extensive statistical mechanics of the self-gravitating gas

Sep 26, 2017, 2:50 PM
Kazimierz Dolny, Poland

Kazimierz Dolny, Poland

Dom Pracy Twórczej SDP ul. Małachowskiego 17 24-120 Kazimierz Dolny
Poster (preferred) Poster Session


Viridiana Pineda Reyes (Instituto de Ciencias Nucleares, UNAM)


It is well known that the study of many-body systems in the presence of long-range interactions (1/r^a, a>1) within the context of Boltzmann-Gibbs statistical mechanics is unsuccessful. The configurational integral contained in the partition function diverges, preventing us from a proper probabilistic analysis of the system. This motivates us to describe our system by a non-additive and non-extensive entropy, i.e. the Tsallis entropy. Non-extensive statistical mechanics emerge as a powerful way to describe these systems. We present an analysis of a self-gravitating non-relativistic gas at thermal equilibrium using Tsallis non-extensive statistical mechanics, proposing an alternative more consistent way to study astronomical self-gravitational systems, and discuss the results and possible issues arising with our approach.

Primary authors

Christine Gruber (Instituto de Ciencias Nucleares, UNAM) Lenin Fancisco Escamilla (Instituto de Ciencias Nucleares, UNAM) Viridiana Pineda Reyes (Instituto de Ciencias Nucleares, UNAM)

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