Anomalous Diffusion and Mixing in an Oscillating Rayleigh-Bénard Flow

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Abstract
The diffusion and mixing of tracer particles by chaotic advection in two-dimensional oscillating Rayleigh-Bénard convection are shown to be anomalous due to the existence of two kinds of islands of tori. The dependence of the diffusion constant D on the amplitude B of the roll oscillation is calculated, which leads to the √B dependence with several fine-grained peaks. It is found that accelerator-mode islands appear around the oscillating roll boundaries in a peak range of B, and the intermittent sticking of tracer particles to these islands leads to an anomalous diffusion with D = ∞. The diffusion and the formation of the islands are elucidated in terms of the lobe dynamics.

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