Abstract
A path integral over trajectories of 2n fluid particles is identified with a 2nth order correlation function of a passive scalar convected by d-dimensional short-correlated multiscale incompressible random velocity flow. Strong intermittency of the scalar is described by means of an instanton calculus (saddle point plus fluctuations about it) in the path integral at n≫:d. The anomalous scaling exponent of the 2nth scalar's structural function is found analytically.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2722-2735 |
| Number of pages | 14 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 55 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1997 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics