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• Darooneh, A
• Naeimi, G
• Mehri, A
• Sadeghi, P
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• Naeimi, G
• Mehri, A
• Sadeghi, P
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• Darooneh, A
• Naeimi, G
• Mehri, A
• Sadeghi, P

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Entropy 2010, 12(12), 2497-2503; doi:10.3390/e12122497

Article

Tsallis Entropy, Escort Probability and the Incomplete Information Theory

Amir Hossein Darooneh, Ghassem Naeimi* , Ali Mehri and Parvin Sadeghi

Department of Physics, Zanjan University, P.O.Box 45196-313, Zanjan, Iran

* Author to whom correspondence should be addressed.

Received: 31 October 2010; in revised form: 25 November 2010 / Accepted: 27 November 2010 / Published: 21 December 2010

(This article belongs to the Special Issue Advances in Statistical Mechanics)

Download PDF Full-Text [86 KB, uploaded 21 December 2010 15:26 CET]

Abstract: 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.

Keywords: non-extensive statistical mechanics; Tsallis entropy; incomplete information; escort probability

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