2016/02/23 by G. Baris Bagci, Bagci, G. Baris, Thomas Oikonomou +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1602.07133
5 pages, PRE 93 (2016) 022112
arxiv created 2016/02/23 · arxiv updated 2016/02/24
Bento et al. [Phys. Rev. E 91, 022105 (2015)] recently stated that the Tsallis entropy violates the third law of thermodynamics for 0 < q <1 in the sub-additive regime. We first show that the division between the regimes q < 1 and q > 1 is already inherent in the fundamental incomplete structure of the deformed logarithms and exponentials underlying the Tsallis entropy. Then, we provide the complete deformed functions and show that the Tsallis entropy conforms to the third law of thermodynamics for both super-additive q < 1 and sub-additive q > 1 regimes. Finally, we remark that the Tsallis entropy does not require the use of escort-averaging scheme once it is expressed in terms of the complete deformed functions.