Comments on "On q-non-extensive statistics with non-Tsallisian entropy"
arXiv:1609.00404 · doi:10.1016/j.physa.2016.08.078
Abstract
Recently, in [P. Jizba and J. Korbel, Physica A 444, 2016, 808-827], four generalized Shannon-Khinchin [GSK] axioms have been proposed and a generalized entropy which uniquely satisfies the GSK axioms has been derived. In this comment, we show that the unique class of the entropies derived in the aforementioned paper is not correct, as it violates the fourth GSK axiom, and we derive the correct one. Nevertheless, the class of entropies proposed in the commented paper still can serve as a basis for generalized statistical mechanics. We propose a new axiomatic system which characterizes the class of entropies.
References in corpus (6)
- Generalized algebra within a nonextensive statistics
- Axioms and uniqueness theorem for Tsallis entropy
- Generalized Shannon-Khinchin Axioms and Uniqueness Theorem for Pseudo-additive Entropies
- On q-non-extensive statistics with non-Tsallisian entropy
- Generalized statistics: yet another generalization
- A unified characterization of generalized information and certainty measures
Cited by in corpus (5)
- On Statistical Properties of Jizba-Arimitsu Hybrid Entropy
- Rescaling the nonadditivity parameter in Tsallis thermostatistics
- On the uniqueness theorem for pseudo-additive entropies
- On the equivalence between four versions of thermostatistics based on strongly pseudo-additive entropies
- Comment on "Generalized Shannon--Khinchin axioms and uniqueness theorem for pseudo-additive entropies" [Physica A 411 (2014) 138]