Non-Gaussian statistics, Maxwellian derivation and stellar polytropes

E.P. Bento, J.R.P. Silva and R. Silva

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 4, 666-672

Abstract: 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 κ and the stellar polytrope index n. We compare also the Kaniadakis relation n=n(κ) with n=n(q) proposed in the Tsallis framework.

Keywords: Non-Gaussian statistics; Non-Maxwellian distributions; Stellar polytropes (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:4:p:666-672

DOI: 10.1016/j.physa.2012.10.022

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