| Critical behavior of vorticity in two-dimensional turbulence. | |
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MedLine Citation:
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PMID: 11970596 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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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. |
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Authors:
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D Boyer |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Volume: 60 ISSN: 1063-651X ISO Abbreviation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics Publication Date: 1999 Dec |
Date Detail:
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Created Date: 2002-04-23 Completed Date: 2002-05-08 Revised Date: 2003-11-03 |
Medline Journal Info:
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Nlm Unique ID: 9887340 Medline TA: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics Country: United States |
Other Details:
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Languages: eng Pagination: 6769-75 Citation Subset: - |
Affiliation:
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Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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