Anomalous Scaling in Passive Scalar Advection and Lagrangian Shape Dynamics
| dc.creator | Arad, I. | |
| dc.creator | Procaccia, I. | |
| dc.date | 2000-01-30 | |
| dc.date.accessioned | 2026-07-07T05:32:39Z | |
| dc.date.available | 2026-07-07T05:32:39Z | |
| dc.description | The problem of anomalous scaling in passive scalar advection, especially with $δ$-correlated velocity field (the Kraichnan model) has attracted a lot of interest since the exponents can be computed analytically in certain limiting cases. In this paper we focus, rather than on the evaluation of the exponents, on elucidating the {\em physical mechanism} responsible for the anomaly. We show that the anomalous exponents $ζ_n$ stem from the Lagrangian dynamics of shapes which characterize configurations of n points in space. Using the shape-to-shape transition probability, we define an operator whose eigenvalues determine the anomalous exponents for all n, in all the sectors of the SO(3) symmetry group. | |
| dc.description | 6 pages, IUTAM simposium, T.Kambe, ed. in press | |
| dc.identifier | https://arxiv.org/abs/nlin/0001067 | |
| dc.identifier | http://arxiv.org/abs/nlin/0001067 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79732 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Anomalous Scaling in Passive Scalar Advection and Lagrangian Shape Dynamics | |
| dc.type | text |