Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-12-12
M. Gell-Mann, C. Tsallis (eds.), Nonextensive Entropy -- Interdisciplinary Applications, Oxford University Press, 2002
Physics
Condensed Matter
Statistical Mechanics
14 pages, 2 figures; contribution to the International Workshop on Interdisciplinary Applications of Ideas from Nonextensive S
Scientific paper
It has been suggested recently that `$q$-exponential' distributions which form the basis of Tsallis' non-extensive thermostatistical formalism may be viewed as mixtures of exponential (Gibbs) distributions characterized by a fluctuating inverse temperature. In this paper, we revisit this idea in connection with a detailed microscopic calculation of the energy and temperature fluctuations present in a finite vessel of perfect gas thermally coupled to a heat bath. We find that the probability density related to the inverse temperature of the gas has a form similar to a $\chi^2$ density, and that the `mixed' Gibbs distribution inferred from this density is non-Gibbsian. These findings are compared with those obtained by a number of researchers who worked on mixtures of Gibbsian distributions in the context of velocity difference measurements in turbulent fluids as well as secondaries distributions in nuclear scattering experiments.
No associations
LandOfFree
Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble 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 Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-344379