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Jeans instability criterion from the viewpoint of non-gaussian statistics

In this Letter we have derived the Jeans length in the context of the Kaniadakis statistics. We have compared this result with the Jeans length obtained in the non-extensive Tsallis statistics and discussed the main differences between these two models. We have also obtained the kappa-sound velocity. Finally, we have applied the results obtained here to analyze an astrophysical system.

preprint2016arXivOpen access
Everton M. C. AbreuJorge Ananias NetoEdesio M. Barboza Jr.Rafael C. Nunes
astro-ph.COcond-mat.stat-mechgr-qc
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Everton M. C. AbreuJorge Ananias NetoEdesio M. Barboza Jr.Rafael C. Nunes

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