Abstract
The anomalous scaling behavior of the nth order correlation functions [formula presented] 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-|[formula presented][formula presented]=0. Previous analysis found zero modes in perturbation theory with respect to a small parameter. We present a computer-assisted analysis of the simplest nontrivial case of n=3: we demonstrate nonperturbatively the existence of anomalous scaling, and compare the results with the perturbative predictions.
| Original language | English |
|---|---|
| Pages (from-to) | R3836-R3839 |
| Journal | Physical Review E |
| Volume | 55 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1997 |
| Externally published | Yes |