Thermodynamic stability conditions for nonadditive composable entropies
Statistical Mechanics
2009-11-10 v1
Abstract
The thermodynamic stability conditions (TSC) of nonadditive and composable entropies are discussed. Generally the concavity of a nonadditive entropy with respect to internal energy is not necessarily equivalent to the corresponding TSC. It is shown that both the TSC of Tsallis' entropy and that of the -generalized Boltzmann entropy are equivalent to the positivity of the standard heat capacity.
Keywords
Cite
@article{arxiv.cond-mat/0307419,
title = {Thermodynamic stability conditions for nonadditive composable entropies},
author = {Tatsuaki Wada},
journal= {arXiv preprint arXiv:cond-mat/0307419},
year = {2009}
}
Comments
6pages; Contribution to a topical issue of Continuum Mechanics and Thermodynamics (CMT), edited by M. Sugiyama