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

Physical Review. E
Congjie Ou, Sumiyoshi Abe

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.

References

Feb 17, 2018·Physical Review. E·Thomas Oikonomou, G Baris Bagci

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Citations

Jul 18, 2018·Physical Review. E·Thomas Oikonomou, G Baris Bagci
Apr 20, 2019·Physical Review. E·Yusuke UchiyamaHidetoshi Konno

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