Smooth-filamental transition of active tracer fields stirred by chaotic advection
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
The spatial distribution of interacting chemical fields is investigated in the non-diffusive limit. The evolution of fluid parcels is described by independent dynamical systems driven by chaotic advection. The distribution can be filamental or smooth depending on the relative strength of the dispersion due to chaotic advection and the stability of the chemical dynamics. We give the condition for the smooth-filamental transition and relate the H\"older exponent of the filamental structure to the Lyapunov exponents. Theoretical findings are illustrated by numerical experiments.
Cite
@article{arxiv.chao-dyn/9906019,
title = {Smooth-filamental transition of active tracer fields stirred by chaotic advection},
author = {Zoltan Neufeld and Cristobal Lopez and Peter H. Haynes},
journal= {arXiv preprint arXiv:chao-dyn/9906019},
year = {2009}
}
Comments
4 pages, 3 figures