Richardson's Laws for Relative Dispersion in Colored-Noise Flows with Kolmogorov-type Spectra
arXiv:math-ph/0209007
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 and 4/3-laws.