What is it about?
We study the mixing behaviour of a simple model underpinning the action of a wide range of fluid mixing device. We prove rigorously that the rate of mixing follows a power law, using powerful techniques from ergodic theory.
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Why is it important?
Proving rigorous results about the rates of mixing for dynamical systems is challenging. This paper achieves this for a physically important system, and is unusual in the literature as the system in question is two-dimensional, area-preserving and non-uniformly hyperbolic.
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This page is a summary of: Polynomial decay of correlations in linked-twist maps, Ergodic Theory and Dynamical Systems, April 2013, Cambridge University Press,
DOI: 10.1017/etds.2013.8.
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