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Generalization of Shannon-Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem

Authors
  • Suyari, Hiroki
Type
Preprint
Publication Date
May 28, 2002
Submission Date
May 02, 2002
Identifiers
arXiv ID: math-ph/0205004
Source
arXiv
License
Unknown
External links

Abstract

The Shannon-Khinchin axioms are generalized to nonextensive systems and the uniqueness theorem for the nonextensive entropy is proved rigorously. In the present axioms, Shannon additivity is used as additivity in contrast to pseudoadditivity in Abe's axioms. The results reveal that Tsallis entropy is the simplest among all nonextensive entropies which can be obtained from the generalized Shannon-Khinchin axioms.

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