Non-Gaussian statistics, maxwellian derivation and stellar polytropes
arXiv:1205.1821 · doi:10.1016/2012.10.022
Abstract
In this letter we discuss the Non-gaussian statistics considering two aspects. In the first, we show that the Maxwell's first derivation of the stationary distribution function for a dilute gas can be extended in the context of Kaniadakis statistics. The second one, by investigating the stellar system, we study the Kaniadakis analytical relation between the entropic parameter $κ$ and stellar polytrope index $n$. We compare also the Kaniadakis relation $n=n(κ)$ with $n=n(q)$ proposed in the Tsallis framework.
10 pages, 1 figure