Thermodynamic stability conditions for nonadditive composable entropies

Details Thermodynamic stability conditions for nonadditive composable entropies Thermodynamic stability conditions for nonadditive composable entropies

2003-07-17

arxiv.org/abs/cond-mat/0307419v1

Physics

Condensed Matter

Statistical Mechanics

6pages; Contribution to a topical issue of Continuum Mechanics and Thermodynamics (CMT), edited by M. Sugiyama

Scientific paper

10.1007/s00161-003-0156-y

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 $\kappa$-generalized Boltzmann entropy are equivalent to the positivity of the standard heat capacity.

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