Computational applications of nonextensive statistical mechanics
β Scribed by Constantino Tsallis
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 513 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
Computational applications of the nonextensive entropy S q and nonextensive statistical mechanics, a current generalization of the BoltzmannβGibbs (BG) theory, are briefly reviewed. The corresponding bibliography is provided as well.
π SIMILAR VOLUMES
In this short paper, we establish a variational expression of the Tsallis relative entropy. In addition, we derive a generalized thermodynamic inequality and a generalized Peierls-Bogoliubov inequality. Finally we give a generalized Golden-Thompson inequality.
We have conducted experiments on an asymmetrically forced quasi-two-dimensional turbulent flow in a rapidly rotating annulus. Assuming conservation of potential enstrophy and energy, we maximize a nonextensive entropy function to obtain the azimuthally averaged vorticity as a function of radial posi