Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble
| dc.creator | Touchette, Hugo | |
| dc.date | 2002-12-12 | |
| dc.date | 2002-12-12 | |
| dc.date.accessioned | 2026-07-07T02:48:42Z | |
| dc.date.available | 2026-07-07T02:48:42Z | |
| dc.description | 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 $χ^2$ 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. | |
| dc.description | 14 pages, 2 figures; contribution to the International Workshop on Interdisciplinary Applications of Ideas from Nonextensive Statistical Mechanics and Thermodynamics, April 8-12, 2002, Santa Fe Institute, Santa Fe, New Mexico, USA | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0212301 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0212301 | |
| dc.identifier | M. Gell-Mann, C. Tsallis (eds.), Nonextensive Entropy -- Interdisciplinary Applications, Oxford University Press, 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20509 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble | |
| dc.type | text |