Dynamical random multiplicative cascade model in 1+1 dimensions
Statistical Mechanics
2007-05-23 v1 Chaotic Dynamics
Fluid Dynamics
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.
Cite
@article{arxiv.cond-mat/0106347,
title = {Dynamical random multiplicative cascade model in 1+1 dimensions},
author = {Juergen Schmiegel and Hans C. Eggers and Martin Greiner},
journal= {arXiv preprint arXiv:cond-mat/0106347},
year = {2007}
}
Comments
8 pages, 2 figures