Self-Diffusion by Multivariate-Normal Turbulent Velocity Field

Details Self-Diffusion by Multivariate-Normal Turbulent Velocity Field Self-Diffusion by Multivariate-Normal Turbulent Velocity Field

2005-01-19

arxiv.org/abs/cond-mat/0501458v1

Physics

Condensed Matter

Statistical Mechanics

8 pages

Scientific paper

A closed set of \textit{exact} equations describing statistical theory of turbulent self-diffusion by multivariate-normal turbulent velocity field is derived. In doing so, we first suggest exact formulas for correlations $$, $$ and $$ when the functional $R[{\bf f}]$ is functional of functions ${f_i}$'s having multivariate-normal distribution, $g$ and $f_i$'s have joint normal distribution and zero mean values.

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