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Thermal measurements of stationary nonequilibrium systems: A test for generalized thermostatistics

Damian H. Zanette·Marcelo A. Montemurro
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Abstract

We show that a gas thermometer in contact with a stationary classical system out of thermal (Boltzmann) equilibrium evolves, under very general conditions, towards a state characterized by a Levy velocity distribution. Our approach is based on a kinetic-like equation that applies to a wide class of models for the system-thermometer interaction. The results clarify the role of non-exponential energy distributions as possible generalizations of the Boltzmann distribution for systems where the usual formulation of thermostatistics may not apply. In particular, they show that the power-law distributions derived from Tsallis's nonextensive formalism are irrelevant to the stationary state of the thermometer, thus failing to give a consistent description of the system-thermometer equilibrium. We point out the need of a generalized thermostatistical formulation able to give a unified frame to Levy and Maxwell distributions.

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Damian H. Zanette, Marcelo A. Montemurro. 2003-07-16. Thermal measurements of stationary nonequilibrium systems: A test for generalized thermostatistics. https://doi.org/10.1016/s0375-9601(03)01151-4

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