2004
DOI: 10.1088/0034-4885/67/6/r04
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Correlation effects and turbulent diffusion scalings

Abstract: A significant deviation of turbulent transport from conventional diffusion necessitates a search for new types of equations and scalings. Long-range correlations are responsible for anomalous transport. An investigation of correlation effects and correlation functions, which are fairly universal tools, plays an important role. This review deals with the methods of direct calculations, diffusive approximation, and the scaling representation of correlation effects. In this paper, we consider different methods fo… Show more

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Cited by 25 publications
(13 citation statements)
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References 120 publications
(394 reference statements)
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“…Trajectory structures and transport became a main topic. [43][44][45][46][47][48][49][50][51][52][53][54][55] Larmor radius effects have been shown to be important in the percolative regime. [56][57][58] For the calculation of effective perpendicular transport one needs the parallel diffusion coefficient.…”
Section: Introductionmentioning
confidence: 99%
“…Trajectory structures and transport became a main topic. [43][44][45][46][47][48][49][50][51][52][53][54][55] Larmor radius effects have been shown to be important in the percolative regime. [56][57][58] For the calculation of effective perpendicular transport one needs the parallel diffusion coefficient.…”
Section: Introductionmentioning
confidence: 99%
“…A form of a diffusion equation that reflects the nonlocal character of transport and at the same time has a close relation to the conventional diffusion equation is given by [Bakunin, 2004[Bakunin, , 2008…”
Section: The Model Problemmentioning
confidence: 99%
“…Here, we assume the function u is defined in R andĜ(k) andû(k, t) are the Fourier transforms of the functions G(x) and u (x, t) with respect to the variable x. IfĜ(k) = −Dk 2 the Fourier representation corresponds to the classical diffusion equation, where D is the conventional diffusion coefficient. However, the kernel function describing turbulent diffusion is given by [Bakunin, 2004;Chen, 2006;del-Castillo-Negrete et al, 2005] G(k) = − 1/3 |k| 2/3 ,…”
Section: The Model Problemmentioning
confidence: 99%
“…Not falling in this group and showing much promise are methods using fractional calculus ( [9], and references therein). Worth noting also is the review and discussion by [1]. Here, a simple and effective approach is proposed.…”
mentioning
confidence: 99%