Thermodynamics arising from Tsallis' thermostatistics
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We show, in two different ways, that the Tsallis' partition function and its derivatives are related to thermodynamic quantities such as entropy, internal energy, etc., in the same way as in Boltzmann-Gibbs' formalism, with the Lagrange multiplier $β^{BG}$ replaced by its value $\frac{1}{k_BT}$. They are obtained within the finite heat bath canonical ensemble approach. Furthermore, we discuss the meaning of the Lagrange multiplier of the generalized framework, $β^T$, and show that the entropy found here is just the Rènyi entropy plus a definite constant.
17 pages, results improved, dicussion on Lagrange multipliers added, references added
17 pages, results improved, dicussion on Lagrange multipliers added, references added