Smooth-filamental transition of active tracer fields stirred by chaotic advection

Details Smooth-filamental transition of active tracer fields stirred by chaotic advection Smooth-filamental transition of active tracer fields stirred by chaotic advection

1999-06-10

arxiv.org/abs/chao-dyn/9906019v1

Phys. Rev. Lett, 82, 2602 (1999)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.82.2606

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.

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