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Statistical mechanics of 2D turbulence with a prior vorticity distribution

Authors
  • Chavanis, P. H.
Type
Preprint
Publication Date
Jan 12, 2006
Submission Date
Jan 12, 2006
Identifiers
arXiv ID: physics/0601087
Source
arXiv
License
Unknown
External links

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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