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 281 (2001), 126] is nothing but the ensemble average of the Boltzmann temperature.

The Boltzmann temperature and Lagrange multiplier in nonextensive thermostatistics

Scarfone Antonio M
2006

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 281 (2001), 126] is nothing but the ensemble average of the Boltzmann temperature.
2006
Boltzmann temperature
Lagrange multiplier
nonextensive thermostatistics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/368339
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