Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-10-21
Physics
Condensed Matter
Statistical Mechanics
16 pages, no figure, submitted to Physics Letter A
Scientific paper
10.1016/j.physleta.2004.12.054
Tsallis' thermostatistics with the standard linear average energy is revisited by employing $S_{2-q}$, which is the Tsallis entropy with $q$ replaced by $2-q$. We explore the connections among the $S_{2-q}$ approach and the other different versions of Tsallis formalisms. It is shown that the normalized $q$-average energy and the standard linear average energy are related to each other. The relations among the Lagrange multipliers of the different versions are revealed. The relevant Legendre transform structures concerning the Lagrange multipliers associated with the normalization of probability are studied. It is shown that the generalized Massieu potential associated with $S_{2-q}$ and the linear average energy is related to one associated with the normalized Tsallis entropy and the normalized $q$-average energy.
Scarfone Antonio Maria
Wada Takehiko
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