Fractal tracer distributions in turbulent field theories
chao-dyn
2008-02-03 v1 Chaotic Dynamics
Abstract
We study the motion of passive tracers in a two-dimensional turbulent velocity field generated by the Kuramoto-Sivashinsky equation. By varying the direction of the velocity-vector with respect to the field-gradient we can continuously vary the two Lyapunov exponents for the particle motion and thereby find a regime in which the particle distribution is a strange attractor. We compare the Lyapunov dimension to the information dimension of actual particle distributions and show that there is good agreement with the Kaplan-Yorke conjecture. Similar phenomena have been observed experimentally.
Keywords
Cite
@article{arxiv.chao-dyn/9709008,
title = {Fractal tracer distributions in turbulent field theories},
author = {Jonas Lundbek Hansen and Tomas Bohr},
journal= {arXiv preprint arXiv:chao-dyn/9709008},
year = {2008}
}
Comments
17 pages, 7 figures, elsart.sty, psfig.sty, LaTeX