Richardson's Laws for Relative Dispersion in Colored-Noise Flows with Kolmogorov-type
- Author(s): Fannjiang, Albert C.
- et al.
Published Web Locationhttps://arxiv.org/pdf/math-ph/0209007.pdf
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.