English

Non-Perturbative Zero Modes in the Kraichnan Model for Turbulent Advection

chao-dyn 2016-08-31 v1 Chaotic Dynamics

Abstract

The anomalous scaling behavior of the n-th order correlation functions Fn{\cal F}_n of the Kraichnan model of turbulent passive scalar advection is believed to be dominated by the homogeneous solutions (zero-modes) of the Kraichnan equation B^nFn=0\hat{\cal B}_n {\cal F}_n=0. Previous analysis found zero-modes in perturbation theory in a small parameter. We present non-perturbative analysis of the simplest (non-trivial) case of n=3 and compare the results with the perturbative predictions.

Keywords

Cite

@article{arxiv.chao-dyn/9610016,
  title  = {Non-Perturbative Zero Modes in the Kraichnan Model for Turbulent Advection},
  author = {Omri Gat and Victor S. L'vov and Evgenii Podivilov and Itamar Procaccia},
  journal= {arXiv preprint arXiv:chao-dyn/9610016},
  year   = {2016}
}

Comments

PRL, Submitted. REVTeX, 4 pages, 3 figs.(not included). Online (html) version and PS Source of the paper with figures available at http://lvov.weizmann.ac.il/onlinelist.html#unpubl