Thermodynamic stabilities of the generalized Boltzmann entropies

• Published in: Physica A Vol. 340; no. 1; pp. 126 - 130
• Main Author: Wada, Tatsuaki
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2004
• Subjects: Composability; Non-additive entropy; Thermodynamic stability; 05.70.−a; Thermodynamic stability; Non-additive entropy; 05.20.−y; 05.90.+m; Composability

We consider the thermodynamic stability conditions (TSC) on the Boltzmann entropies generalized by Tsallis’ q- and Kaniadakis’ κ-deformed logarithmic functions. It is shown that the corresponding TSCs are not necessarily equivalent to the concavity of the generalized Boltzmann entropies with respect...