Comment on "Route from discreteness to the continuum for the Tsallis q-entropy"

Congjie Ou; Sumiyoshi Abe

doi:10.1103/PhysRevE.97.066101

Comment on "Route from discreteness to the continuum for the Tsallis q-entropy"

Phys Rev E. 2018 Jun;97(6-2):066101. doi: 10.1103/PhysRevE.97.066101.

Authors

Congjie Ou¹, Sumiyoshi Abe^{1

2

3}

Affiliations

¹ Physics Division, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China.
² Department of Physical Engineering, Mie University, Mie 514-8507, Japan.
³ Institute of Physics, Kazan Federal University, Kazan 420008, Russia.

PMID: 30011428
DOI: 10.1103/PhysRevE.97.066101

Abstract

Several years ago, it had been discussed that nonlogarithmic entropies, such as the Tsallis q-entropy cannot be applied to systems with continuous variables. Now, in their recent paper [Phys. Rev. E 97, 012104 (2018)10.1103/PhysRevE.97.012104], Oikonomou and Bagci have modified the form of the q-entropy for discrete variables in such a way that its continuum limit exists. Here, it is shown that this modification violates the expandability property of entropy, and their work is actually supporting evidence for the absence of the q-entropy for systems with continuous variables.