Self-Diffusion by Multivariate-Normal Turbulent Velocity Field
Abstract
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 $<f_i(p)f_j(p')R[{\bf f}]>$, $<g(p)R[{\bf f}]>$ and $<g(p)f_j(p')R[{\bf f}]>$ 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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2005
- DOI:
- 10.48550/arXiv.cond-mat/0501458
- arXiv:
- arXiv:cond-mat/0501458
- Bibcode:
- 2005cond.mat..1458P
- Keywords:
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- Statistical Mechanics
- E-Print:
- 8 pages