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Non-Gaussian statistics, Maxwellian derivation and stellar polytropes

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

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.

Suggested Citation

  • Bento, E.P. & Silva, J.R.P. & Silva, R., 2013. "Non-Gaussian statistics, Maxwellian derivation and stellar polytropes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 666-672.
  • Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:666-672 DOI: 10.1016/j.physa.2012.10.022
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