Data di Pubblicazione:
2005
Citazione:
Thermodynamics and time averages / A. Carati. - In: PHYSICA. A. - ISSN 0378-4371. - 348:1-4(2005), pp. 110-120.
Abstract:
For a dynamical system far from equilibrium, one has to deal with
empirical probabilities defined through time--averages, and the main
problem is then how to formulate an appropriate statistical
thermodynamics. The common answer is that the standard functional
expression of Boltzmann-Gibbs for the entropy should be used, the
empirical probabilities being substituted for the Gibbs measure.
Other functional expressions have been suggested, but apparently with
no clear mechanical foundation. Here it is shown how a natural extension
of the original procedure employed by Gibbs and Khinchin in defining
entropy, with the only proviso of using the empirical probabilities,
leads for the entropy to a functional expression which is in general different
from that of Boltzmann--Gibbs. In particular, the Gibbs entropy is
recovered for empirical probabilities of Poisson type, while the Tsallis
entropies are recovered for a deformation of the Poisson distribution.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Non-equilibrium thermodynamics; Time-averages; Tsallis distributions
Elenco autori:
A. Carati
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