The Markovian metamorphosis of a simple turbulent cascade model

Abstract

Markovian properties of a discrete random multiplicative cascade model of log-normal type are discussed. After taking small-scale resummation and breaking of the ultrametric hierarchy into account, qualitative agreement with Kramers-Moyal coefficients, recently deduced from a fully developed turbulent flow, is achieved.

6 pages, 2 figures

References in corpus (5)

• The multifractal nature of turbulent energy dissipation
• Analytic multivariate generating function for random multiplicative cascade processes
• A Langevin equation for the energy cascade in fully-developed turbulence
• Multiplier phenomenology in random multiplicative cascade processes
• Spatial correlations of singularity strengths in multifractal branching processes

Cited by in corpus (2)

• Stochastic energy-cascade model for 1+1 dimensional fully developed turbulence
• Translationally invariant cumulants in energy cascade models of turbulence