Dynamical random multiplicative cascade model in 1+1 dimensions

2001/06/18 by Juergen Schmiegel, Schmiegel, Juergen, Hans C. Eggers +3
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #nlin.CD #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.cond-mat/0106347

8 pages, 2 figures

arxiv created 2001/06/18 · arxiv updated 2009/11/30

Abstract

Geometrical random multiplicative cascade processes are often used to model positive-valued multifractal fields such as for example the energy dissipation field of fully developed turbulence. A dynamical generalisation of these models is proposed, which describes the continuous and homogeneous stochastic evolution of the field in one space and one time dimension. Two-point correlation functions are calculated.

Related

• A causal multifractal stochastic equation and its statistical properties
• Toward a deeper understanding of a basic cascade
• Features arising from randomly multiplicative measures
• A Stochastic Process for the Dynamics of the Turbulent Cascade
• Intermittency in Turbulence: Multiplicative Random Process in Space and Time