Intermittency and Corrections to Kolmogorov Theory

This lecture delves into the concept of intermittency and the need for corrections to the Kolmogorov theory. By examining data from turbulent flows, the instructor discusses how deviations from the standard theory suggest the presence of small corrections. The lecture explores the assumptions underlying the Kolmogorov theory and how violations of self-similarity can lead to intermittency. The discussion extends to the beta model, which introduces the idea of fractal dimensions and multifractal models to explain intermittency corrections. Through statistical analysis of high-order structure functions, the lecture highlights the challenges in measuring intermittency and the implications for reevaluating the Kolmogorov predictions.