NONPERTURBATIVE ZERO MODES IN THE KRAICHNAN MODEL FOR TURBULENT ADVECTION

Authors
GAT O LVOV VS PODIVILOV E PROCACCIA I
Citation
O. Gat et al., NONPERTURBATIVE ZERO MODES IN THE KRAICHNAN MODEL FOR TURBULENT ADVECTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(4), 1997, pp. 3836-3839
Citations number
11
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
4
Year of publication
1997
Pages
3836 - 3839
Database
ISI
SICI code
1063-651X(1997)55:4<3836:NZMITK>2.0.ZU;2-X
Abstract
The anomalous scaling behavior of the nth order correlation functions F-n of the Kraichnan model of turbulent passive scalar advection is be lieved to be dominated by the homogeneous solutions (zero modes) of th e Kraichnan equation (B) over cap(n)F(n)=0. Previous analysis found ze ro modes in perturbation theory with respect to a small parameter. We present a computer-assisted analysis of the simplest nontrivial case o f n = 3: we demonstrate nonperturbatively the existence of anomalous s caling, and compare the results with the perturbative predictions.