Multi-scale percolation and scaling laws for anisotropic turbulent diffusion

O.G. Bakunin, T.J. Schep

Research output: Contribution to journalArticleAcademicpeer-review

11 Citations (Scopus)

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 languageEnglish
Pages (from-to)105-110
Number of pages6
JournalPhysics Letters A
Volume322
Issue number1/2
DOIs
Publication statusPublished - 2004

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