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Statistical mechanics of 2D turbulence with a prior vorticity distribution

P. H. Chavanis
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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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P. H. Chavanis. 2006-01-12. Statistical mechanics of 2D turbulence with a prior vorticity distribution. https://arxiv.org/abs/physics/0601087

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