dorsal/arxiv
View SchemaStatistical mechanics of 2D turbulence with a prior vorticity distribution
| Authors | P. H. Chavanis |
|---|---|
| Categories | |
| ArXiv ID | physics/0601087 |
| URL | https://arxiv.org/abs/physics/0601087 |
Abstract
We adapt the formalism of the statistical theory of 2D turbulence in the case where the Casimir constraints are replaced by the specification of a prior vorticity distribution. A new relaxation equation is obtained for the evolution of the coarse-grained vorticity. It can be used as a thermodynamical parametrization of forced 2D turbulence (determined by the prior), or as a numerical algorithm to construct arbitrary nonlinearly dynamically stable stationary solutions of the 2D Euler equation.
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"abstract": "We adapt the formalism of the statistical theory of 2D turbulence in the case\nwhere the Casimir constraints are replaced by the specification of a prior\nvorticity distribution. A new relaxation equation is obtained for the evolution\nof the coarse-grained vorticity. It can be used as a thermodynamical\nparametrization of forced 2D turbulence (determined by the prior), or as a\nnumerical algorithm to construct arbitrary nonlinearly dynamically stable\nstationary solutions of the 2D Euler equation.",
"arxiv_id": "physics/0601087",
"authors": [
"P. H. Chavanis"
],
"categories": [
"physics.flu-dyn"
],
"title": "Statistical mechanics of 2D turbulence with a prior vorticity distribution",
"url": "https://arxiv.org/abs/physics/0601087"
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