Intermittency in Turbulence: computing the scaling exponents in shell models
混沌动力学
2007-05-23 v1
摘要
We discuss a stochastic closure for the equation of motion satisfied by multi-scale correlation functions in the framework of shell models of turbulence. We give a systematic procedure to calculate the anomalous scaling exponents of structure functions by using the exact constraints imposed by the equation of motion. We present an explicit calculation for fifth order scaling exponent at varying the free parameter entering in the non-linear term of the model. The same method applied to the case of shell models for Kraichnan passive scalar provides a connection between the concept of zero-modes and time-dependent cascade processes.
引用
@article{arxiv.nlin/0307008,
title = {Intermittency in Turbulence: computing the scaling exponents in shell models},
author = {Roberto Benzi and Luca Biferale and Mauro Sbragaglia and Federico Toschi},
journal= {arXiv preprint arXiv:nlin/0307008},
year = {2007}
}
备注
12 pages, 5 eps figures