1. Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization
- Author
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Dukkipati, Ambedkar, Murty, M. Narasimha, and Bhatnagar, Shalabh
- Subjects
- *
THERMODYNAMICS , *ENTROPY , *PHYSICS , *MATHEMATICS - Abstract
Abstract: Kullback–Leibler relative-entropy has unique properties in cases involving distributions resulting from relative-entropy minimization. Tsallis relative-entropy is a one-parameter generalization of Kullback–Leibler relative-entropy in the nonextensive thermostatistics. In this paper, we present the properties of Tsallis relative-entropy minimization and present some differences with the classical case. In the representation of such a minimum relative-entropy distribution, we highlight the use of the q-product, an operator that has been recently introduced to derive the mathematical structure behind the Tsallis statistics. One of our main results is the generalization of triangle equality of relative-entropy minimization to the nonextensive case. [Copyright &y& Elsevier]
- Published
- 2006
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