A two-parameter generalization of Shannon-Khinchin Axioms and the uniqueness theorem
Statistical Mechanics
2009-11-11 v1
Abstract
Based on the one-parameter generalization of Shannon-Khinchin (SK) axioms presented by one of the authors, and utilizing a tree-graphical representation, we have further developed the SK Axioms in accordance with the two-parameter entropy introduced by Sharma-Taneja, Mittal, Borges-Roditi, and Kaniadakis-Lissia-Scarfone. The corresponding unique theorem is proved. It is shown that the obtained two-parameter Shannon additivity is a natural consequence from the Leibniz rule of the two-parameter Chakrabarti-Jagannathan difference operator.
Keywords
Cite
@article{arxiv.cond-mat/0608139,
title = {A two-parameter generalization of Shannon-Khinchin Axioms and the uniqueness theorem},
author = {Tatsuaki Wada and Hiroki Suyari},
journal= {arXiv preprint arXiv:cond-mat/0608139},
year = {2009}
}
Comments
7pages, Phys. Rev. style