The Boltzmann temperature and Lagrange multiplier

Abstract

We consider the relation between the Boltzmann temperature and the Lagrange multipliers associated with energy average in the nonextensive thermostatistics. In Tsallis' canonical ensemble, the Boltzmann temperature depends on energy through the probability distribution unless $q=1$. It is shown that the so-called 'physical temperature' introduced in [Phys. Lett. A \textbf{281} (2001) 126] is nothing but the ensemble average of the Boltzmann temperature.

8 pages, no figure. The International conference Complexity and Nonextensivity: New Trends in Statistical Mechanics. - Yukawa Institute for Theoretical Physics - (14-18 March 2005) Kyoto, Japan

References in corpus (4)

• Generalized thermostatistics based on deformed exponential and logarithmic functions
• Temperature of nonextensive system: Tsallis entropy as Clausius entropy
• Connections between Tsallis' formalisms employing the standard linear average energy and ones employing the normalized $q$-average energy
• A non self-referential expression of Tsallis' probability distribution function