Jeans instability criterion from the viewpoint of non-gaussian statistics

Understand

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.