Jeans instability criterion from the viewpoint of non-gaussian statistics

TL;DR

This paper derives the Jeans instability criterion using Kaniadakis non-Gaussian statistics, compares it with Tsallis statistics, and applies the findings to astrophysical systems, highlighting differences and implications.

Contribution

It introduces a new derivation of the Jeans length within Kaniadakis statistics and compares it to Tsallis statistics, providing insights into non-Gaussian effects on astrophysical stability.

Findings

Derived the Jeans length in Kaniadakis statistics

Compared Kaniadakis and Tsallis models

Applied results to astrophysical systems

Abstract

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.