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

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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.
7 pages, 1 figure

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/95802

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0506003
 http://arxiv.org/abs/nlin/0506003
 J. Fluid Mech. 542, pp. 97-103 (2005)
 doi:10.1017/S0022112005006178

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arXiv