A generalized entropy optimization and Maxwell–Boltzmann distribution

Arak M. Mathai and Hans J. Haubold ()
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Arak M. Mathai: McGill University Montreal
Hans J. Haubold: Office for Outer Space Affairs, United Nations Vienna International Center

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 2, 1-10

Abstract: Abstract Based on the results of the diffusion entropy analysis of Super-Kamiokande solar neutrino data, a generalized entropy, introduced earlier by the first author is optimized under various conditions and it is shown that Maxwell–Boltzmann distribution, Raleigh distribution and other distributions can be obtained through such optimization procedures. Some properties of the entropy measure are examined and then Maxwell–Boltzmann and Raleigh densities are extended to multivariate cases. Connections to geometrical probability problems, isotropic random points, and spherically symmetric and elliptically contoured statistical distributions are pointed out.

Date: 2018
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DOI: 10.1140/epjb/e2017-80371-5

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