To be and not to be: scale correlations in random multifractal processes
by Jochen Cleve, Jürgen Schmiegel and Martin Greiner
Thiele Research Reports
Number 7 (May 2006)
We discuss various properties of a random multifractal process, which are related to the issue of scale correlations. By design, the process is homogeneous, non-conservative and has no built-in scale correlations. However, when it comes to observables like breakdown coefficients, which are based on a coarse-graining of the multifractal field, scale correlations do appear. In the log-normal limit of the model process, the conditional distributions and moments of breakdown coefficients reproduce the observations made in fully developed small-scale turbulence. These findings help to understand several puzzling empirical details, which have been extracted from turbulent data already some time ago.
This publication also serves as Research Reports number 476