English

Axioms and uniqueness theorem for Tsallis entropy

Statistical Mechanics 2009-10-31 v1

Abstract

The Shannon-Khinchin axioms for the ordinary information entropy are generalized in a natural way to the nonextensive systems based on the concept of nonextensive conditional entropy, and a complete proof of the uniqueness theorem for the Tsallis entropy is presented.

Keywords

Cite

@article{arxiv.cond-mat/0005538,
  title  = {Axioms and uniqueness theorem for Tsallis entropy},
  author = {Sumiyoshi Abe},
  journal= {arXiv preprint arXiv:cond-mat/0005538},
  year   = {2009}
}

Comments

14 pages. To appear in Physics Letters A

R2 v1 2026-07-22T10:03:25.282Z