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Tsallis Entropy, Escort Probability and the Incomplete Information Theory

Department of Physics, Zanjan University, P.O.Box 45196-313, Zanjan, Iran
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Entropy 2010, 12(12), 2497-2503; https://doi.org/10.3390/e12122497
Received: 31 October 2010 / Revised: 25 November 2010 / Accepted: 27 November 2010 / Published: 21 December 2010
(This article belongs to the Special Issue Advances in Statistical Mechanics)
Non-extensive statistical mechanics appears as a powerful way to describe complex systems. Tsallis entropy, the main core of this theory has been remained as an unproven assumption. Many people have tried to derive the Tsallis entropy axiomatically. Here we follow the work of Wang (EPJB, 2002) and use the incomplete information theory to retrieve the Tsallis entropy. We change the incomplete information axioms to consider the escort probability and obtain a correct form of Tsallis entropy in comparison with Wang’s work. View Full-Text
Keywords: non-extensive statistical mechanics; Tsallis entropy; incomplete information; escort probability non-extensive statistical mechanics; Tsallis entropy; incomplete information; escort probability
MDPI and ACS Style

Darooneh, A.H.; Naeimi, G.; Mehri, A.; Sadeghi, P. Tsallis Entropy, Escort Probability and the Incomplete Information Theory. Entropy 2010, 12, 2497-2503.

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