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• W1971512468 abstract "We point out some similarities between the statistics of high Reynolds number turbulence and critical phenomena. An analogy is developed for two-dimensional decaying flows, in particular by studying the scaling properties of the two-point vorticity correlation function within a simple phenomenological framework. The inverse of the Reynolds number is the analog of the small parameter that separates the system from criticality. It is possible to introduce a set of three critical exponents; for the correlation length, the autocorrelation function, and the so-called susceptibility, respectively. The exponents corresponding to the well-known enstrophy cascade theory of Kraichnan and Batchelor are, remarkably, the same as the Gaussian approximation exponents for spin models. The limitations of the analogy, in particular the lack of universal scaling functions, are also discussed." @default.
• W1971512468 created "2016-06-24" @default.
• W1971512468 creator A5054961936 @default.
• W1971512468 date "1999-12-01" @default.
• W1971512468 modified "2023-09-23" @default.
• W1971512468 title "Critical behavior of vorticity in two-dimensional turbulence" @default.
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• W1971512468 doi "https://doi.org/10.1103/physreve.60.6769" @default.
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