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Is 2d Turbulence a Conformal Turbulence?

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arxiv hep-th/9301030 v1 pith:4MNN6CM6 submitted 1993-01-11 hep-th cond-mat

classification hep-thcond-mat
keywords conformalturbulenceanalysisapproachcannotconstantcriticaldelivered
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A critical analysis of the conformal approach to the theory of 2d turbulence is delivered. It is shown, in particular, that conformal minimal models cannot give a general turbulent solution, which should provide for constant fluxes of all vorticity integrals of motion.

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  1. Topology and the Conformal Invariance of Nodal Lines in Two-Dimensional Active Scalar Turbulence

    hep-th 2025-05 conditional novelty 6.0 of 10

    Nodal lines in 2D active scalar turbulence are proposed to be domain walls between constant-flux patches, described by a Liouville conformal field theory whose central charge is set by a fractional winding number matc...

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