Non-Gaussian statistics, Maxwellian derivation and stellar polytropes
E. P. Bento, J. R. P. Silva and R. Silva.
In this letter we discuss two aspects of non-Gaussian statistics. In the first, we show that Maxwell’s first derivation of the stationary distribution function for a dilute gas can be extended in the context of Kaniadakis statistics. In the second, by investigating the stellar system, we study the Kaniadakis analytical relation between the entropic parameter and the stellar polytrope index . We compare also the Kaniadakis relation with proposed in the Tsallis framework. https://dx.doi.org/10.1016/j.physa.2012.10.022