Multi-scale Correlation Functions in Strong Turbulence
Abstract
Under the framework of V. Yakhot [Phys.Rev.E, 57, 1737 (1998)] modelling of intermittent structure functions in fully developed turbulence and based on the experimentally supported Markovian nature of turbulence cascades [R.Friedrich and J.Peinke, Phys.Rev.Lett, 78, 863 (1997)], we calculate the multiscaling correlation functions. Fusion rules [V.S.L'vov and I. Procaccia, Phys.Rev.Lett. 76, 2898 (1996)] which are experimentally tested [R. Benzi, L. Biferale, and F. Toschi, Phys.Rev.Lett. 80, 3244 (1998)] to be compatible with almost uncorrelated multiplicative process can analyticaly be supported by direct calculations.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.