The Boltzmann temperature and Lagrange multiplier

Details The Boltzmann temperature and Lagrange multiplier The Boltzmann temperature and Lagrange multiplier

2005-09-14

arxiv.org/abs/cond-mat/0509367v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, no figure. The International conference Complexity and Nonextensivity: New Trends in Statistical Mechanics. - Yukawa

Scientific paper

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.

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