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

  • Author(s): Fannjiang, Albert C.
  • et al.

Published Web Location

https://arxiv.org/pdf/math-ph/0209007.pdf
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Abstract

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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