Comment on "third Law of Thermodynamics as a Key Test of Generalized Entropies"

Abstract

Bento et al. [Phys. Rev. E 91, 022105 ( 2015)] state that the Tsallis entropy violates the third law of thermodynamics for q <= 0 and 0 < q < 1. We show that their results are valid only for q >= 1, since there is no distribution maximizing the Tsallis entropy for the intervals q <= 0 and 0 < q < 1 compatible with the system energy expression.