Thermodynamics and time-average

Details Thermodynamics and time-average Thermodynamics and time-average

2004-07-29

arxiv.org/abs/cond-mat/0407768v2

Physics

Condensed Matter

Statistical Mechanics

8 pages, LaTex source. Corrected some misprints

Scientific paper

10.1016/j.physa.2004.10.007

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.

Affiliated with

Also associated with

No associations

Rating

Thermodynamics and time-average does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thermodynamics and time-average, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamics and time-average will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457098