Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-12-13
Phys. Lett. A 316 (2003) 184-189
Physics
Condensed Matter
Statistical Mechanics
To appear in Phys. Lett. A
Scientific paper
10.1016/S0375-9601(03)01151-4
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.
Montemurro Marcelo A.
Zanette Damian H.
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