Jeans instability criterion from the viewpoint of non-gaussian statistics

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.

6 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1503.05874

References in corpus (1)

• Maximum entropy principle and power-law tailed distributions

Cited by in corpus (25)

• Kaniadakis holographic dark energy and cosmology
• Probing the cosmological viability of non-gaussian statistics
• Modified cosmology through Kaniadakis horizon entropy
• The k-statistics approach to epidemiology
• New explanation for accelerated expansion and flat galactic rotation curves
• Slow-roll inflation and growth of perturbations in Kaniadakis modification of Friedmann cosmology
• $P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
• Tsallis and Kaniadakis statistics from the viewpoint of entropic gravity formalism
• Corrections to Friedmann equations inspired by Kaniadakis entropy
• Loop Quantum Gravity Immirzi parameter and the Kaniadakis statistics
• New power-law tailed distributions emerging in $\kappa$-statistics
• Composition law of $\kappa$-entropy for statistically independent systems
• Relativistic Roots of $\kappa$-Entropy
• Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects
• Gamow Temperature in Tsallis and Kaniadakis Statistics
• Cosmological FLRW phase transitions and micro-structure under Kaniadakis statistics
• Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology
• Kaniadakis entropy-based characterization of IceCube PeV neutrino signals
• Modified cosmology through Kaniadakis entropy
• Nonlinear Kinetics on Lattices based on the Kinetic Interaction Principle
• Observational constraints and dynamical analysis of Kaniadakis horizon-entropy cosmology
• Kaniadakis holographic dark energy: observational constraints and global dynamics
• Revealing some cosmological aspects of Kaniadakis entropy
• The holographic origin of future singularities and the role of spatial curvature in cosmic expansion
• Holographic dark energy in modified Kaniadakis cosmology