Anomalous scaling in the N-point functions of a passive scalar
Abstract
A recent analysis of the four-point correlation function of the passive scalar advected by a time-decorrelated random flow is extended to the N-point case. It is shown that all stationary-state inertial-range correlations are dominated by homogeneous zero modes of singular operators describing their evolution. We compute analytically the zero modes governing the N-point structure functions and the anomalous dimensions corresponding to them to the linear order in the scaling exponent of the two-point function of the advecting velocity field. The implications of these calculations for the dissipation correlations are discussed.
- Publication:
-
Physical Review E
- Pub Date:
- September 1996
- DOI:
- 10.1103/PhysRevE.54.2564
- arXiv:
- arXiv:chao-dyn/9601018
- Bibcode:
- 1996PhRvE..54.2564B
- Keywords:
-
- 47.27.Gs;
- 47.27.Te;
- Isotropic turbulence;
- homogeneous turbulence;
- Nonlinear Sciences - Chaotic Dynamics;
- Condensed Matter;
- High Energy Physics - Theory
- E-Print:
- 16 pages, latex file