Thermodynamic stabilities of the generalized Boltzmann entropies

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...

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Bibliographic Details
Published inPhysica A Vol. 340; no. 1; pp. 126 - 130
Main Author Wada, Tatsuaki
Format Journal Article
LanguageEnglish
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
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Summary: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 to internal energy. Nevertheless, both the TSCs are equivalent to the positivity of standard heat capacity.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2004.03.084