Multi-scale percolation and scaling laws for anisotropic turbulent diffusion

O.G. Bakunin; T.J. Schep

doi:10.1016/j.physleta.2003.10.082

Multi-scale percolation and scaling laws for anisotropic turbulent diffusion

O.G. Bakunin, T.J. Schep

Fluids and Flows

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Abstract

This Letter deals with scaling laws that describe transport and correlation effects in anisotropic media. The method of multi-scale continuum percolation is used. Multi-scale continuum percolation in 2D random flows is based upon a description in terms of a hierarchy of spatial scales ¿. In that theory the correlation function of the velocity scales as ¿-a. On the other hand, fractal theory leads to the scaling with time ¿¿tH, where H is the Hurst factor. A closer examination of fractal and percolation concepts allows us to obtain not only the value of the exponents but also the relationship between them. It is shown that super-diffusive, 1/2

Original language	English
Pages (from-to)	105-110
Number of pages	6
Journal	Physics Letters A
Volume	322
Issue number	1/2
DOIs	https://doi.org/10.1016/j.physleta.2003.10.082
Publication status	Published - 2004

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10.1016/j.physleta.2003.10.082

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title = "Multi-scale percolation and scaling laws for anisotropic turbulent diffusion",

abstract = "This Letter deals with scaling laws that describe transport and correlation effects in anisotropic media. The method of multi-scale continuum percolation is used. Multi-scale continuum percolation in 2D random flows is based upon a description in terms of a hierarchy of spatial scales ¿. In that theory the correlation function of the velocity scales as ¿-a. On the other hand, fractal theory leads to the scaling with time ¿¿tH, where H is the Hurst factor. A closer examination of fractal and percolation concepts allows us to obtain not only the value of the exponents but also the relationship between them. It is shown that super-diffusive, 1/2",

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AU - Schep, T.J.

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JO - Physics Letters A

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Multi-scale percolation and scaling laws for anisotropic turbulent diffusion

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