Stochastic Shell Model: a model of anomalous scaling and non-Gaussian distribution in turbulence

1995/03/17 by Hideki Takayasu, Takayasu, Hideki, Y-h. Taguchi +3 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #Condensed Matter (cond-mat) #FOS: Physical sciences #chao-dyn #cond-mat #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9503004

4 pages, using REVTEX (Figures are inculded in text body) Replacement due to major modification of model, http://www.phys.titech.ac.jp/~tag/

openalex publication_date 1995/03/17 · arxiv created 1995/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a simple stochastic model of cascading transport in wave number space to clarify the origin of intermittent behavior of fully-developed fluid turbulence. In spite of lack of nonlinearity and viscosity the model gives non-Gaussian fluctuations and multifractal scalings consistent with experimental data.

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