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Does multifractal theory of turbulence have logarithms in the scaling relations?

Title
Does multifractal theory of turbulence have logarithms in the scaling relations?
Type
Article in International Scientific Journal
Year
2005
Authors
Frisch, U
(Author)
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Afonso, MM
(Author)
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Mazzino, A
(Author)
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Yakhot, V
(Author)
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Journal
Vol. 542
Pages: 97-103
ISSN: 0022-1120
Other information
Authenticus ID: P-00N-NKZ
Abstract (EN): The multifractal theory of turbulence uses a saddle-point evaluation in determining the power-law behaviour of structure functions. Without suitable precautions, this could lead to the presence of logarithmic corrections, thereby violating known exact relations such as the four-fifths law. Using the theory of large deviations applied to the random multiplicative model of turbulence and calculating subdominant terms, we explain here why such corrections cannot be present.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 7
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