Dynamical random multiplicative cascade model in 1+1 dimensions

Details Dynamical random multiplicative cascade model in 1+1 dimensions Dynamical random multiplicative cascade model in 1+1 dimensions

2001-06-18

arxiv.org/abs/cond-mat/0106347v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 2 figures

Scientific paper

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.

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