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Entropy 2016, 18(2), 42; doi:10.3390/e18020042

Non-Extensive Entropic Distance Based on Diffusion: Restrictions on Parameters in Entropy Formulae

1
Wigner Research Center for Physics, Konkoly-Thege M. 29-33, Budapest H-1121, Hungary
2
Department of Theoretical Physics, University of Debrecen, Bem tér 18/B, Debrecen H-4026, Hungary
*
Author to whom correspondence should be addressed.
Academic Editor: Giorgio Sonnino
Received: 25 November 2015 / Revised: 15 January 2016 / Accepted: 22 January 2016 / Published: 27 January 2016
View Full-Text   |   Download PDF [219 KB, uploaded 27 January 2016]

Abstract

Based on a diffusion-like master equation we propose a formula using the Bregman divergence for measuring entropic distance in terms of different non-extensive entropy expressions. We obtain the non-extensivity parameter range for a universal approach to the stationary distribution by simple diffusive dynamics for the Tsallis and the Kaniadakis entropies, for the Hanel–Thurner generalization, and finally for a recently suggested log-log type entropy formula which belongs to diverging variance in the inverse temperature superstatistics. View Full-Text
Keywords: generalized q-entropy; entropic distance generalized q-entropy; entropic distance
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Biró, T.S.; Schram, Z. Non-Extensive Entropic Distance Based on Diffusion: Restrictions on Parameters in Entropy Formulae. Entropy 2016, 18, 42.

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