Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2000-10-26
Nonlinear Sciences
Chaotic Dynamics
4 pages, Latex, 4 figures
Scientific paper
10.1103/PhysRevE.63.015302
Exploiting a Lagrangian strategy we present a numerical study for both perturbative and nonperturbative regions of the Kraichnan advection model. The major result is the numerical assessment of the first-order $1/d$-expansion by M. Chertkov, G. Falkovich, I. Kolokolov and V. Lebedev ({\it Phys. Rev. E}, {\bf 52}, 4924 (1995)) for the fourth-order scalar structure function in the limit of high dimensions $d$'s. %Two values of the velocity scaling exponent $\xi$ have been considered: %$\xi=0.8$ and $\xi=0.6$. In the first case, the perturbative regime %takes place at $d\sim 30$, while in the second at $d\sim 25$, %in agreement with the fact that the relevant small parameter %of the theory is $\propto 1/(d (2-\xi))$. In addition to the perturbative results, the behavior of the anomaly for the sixth-order structure functions {\it vs} the velocity scaling exponent, $\xi$, is investigated and the resulting behavior discussed.
Mazzino Andrea
Muratore-Ginanneschi Paolo
No associations
LandOfFree
Passive scalar turbulence in high dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Passive scalar turbulence in high dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Passive scalar turbulence in high dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-259985