Thermodynamic Description of the Relaxation of Two-Dimensional Euler Turbulence Using Tsallis Statistics

Bruce M. Boghosian

doi:10.1103/physreve.53.4754

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arXiv · chao-dyn/9505012

Thermodynamic Description of the Relaxation of Two-Dimensional Euler Turbulence Using Tsallis Statistics

Bruce M. Boghosian

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Abstract

Euler turbulence has been experimentally observed to relax to a metaequilibrium state that does not maximize the Boltzmann entropy, but rather seems to minimize enstrophy. We show that a recent generalization of thermodynamics and statistics due to Tsallis is capable of explaining this phenomenon in a natural way. The maximization of the generalized entropy $S_{1/2}$ for this system leads to precisely the same profiles predicted by the Restricted Minimum Enstrophy theory of Huang and Driscoll. This makes possible the construction of a comprehensive thermodynamic description of Euler turbulence.

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Bruce M. Boghosian. 1995-05-23. Thermodynamic Description of the Relaxation of Two-Dimensional Euler Turbulence Using Tsallis Statistics. https://doi.org/10.1103/physreve.53.4754

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