Indistinguishable multiplier statistics of discrete and continous turbulent cascade models

Details Indistinguishable multiplier statistics of discrete and continous turbulent cascade models Indistinguishable multiplier statistics of discrete and continous turbulent cascade models

1999-09-22

arxiv.org/abs/chao-dyn/9909033v1

Nonlinear Sciences

Chaotic Dynamics

14 pages, 4 figures

Scientific paper

The multiplier statistics of discrete and continuous nonconservative multiplicative cascade models, employed to describe the energy cascade in fully developed turbulence, is investigated. It is found to be indistinguishable due to small-scale resummation and restoration of spatial homogeneity. Only the subclass of positively skewed weight distributions, associated to the cascade generator, qualifies to describe observed unconditional as well as conditional multiplier distributions qualitatively; popular log-Poisson and log-stable weight distributions do not share this property.

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