Richardson's Laws for Relative Dispersion in Colored-Noise Flows with Kolmogorov-type Spectra

Details Richardson's Laws for Relative Dispersion in Colored-Noise Flows with Kolmogorov-type Spectra Richardson's Laws for Relative Dispersion in Colored-Noise Flows with Kolmogorov-type Spectra

2002-09-03

arxiv.org/abs/math-ph/0209007v4

Physics

Mathematical Physics

Scientific paper

We prove limit theorems for small-scale pair dispersion in velocity fields
with power-law spatial spectra and wave-number dependent correlation times.
This result establishes rigorously a family of generalized Richardson's laws
with a limiting case corresponding to Richardson's $t^3$ and 4/3-laws.

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