Tsallis and Kaniadakis statistics from the viewpoint of entropic gravity formalism

Autor: Abreu, Everton M. C., Neto, Jorge Ananias, Barboza Jr., Edesio M., Nunes, Rafael C.
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1142/S0217751X17500282
Popis: It has been shown in the literature that effective gravitational constants, which are derived from Verlinde's formalism, can be used to introduce the Tsallis and Kaniadakis statistics. This method provides a simple alternative to the usual procedure normally used in these non-Gaussian statistics. We have applied our formalism in the Jeans mass criterion of stability and in the free fall time collapsing of a self-gravitating system where new results are obtained. A possible connection between our formalism and deviations of Newton's law of gravitation in a submillimeter range is made.
Comment: To appear in IJMPA
Databáze: arXiv