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Chaos and the Flow Capture Problem: Polluting is Easy, Cleaning is Hard

Physical Review Applied 2018 3 citations

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This mathematical study used dynamical systems theory to analyze the "flow capture problem," showing that efficiently capturing particles dispersed in flowing water is fundamentally difficult — a key insight for designing microplastic collection systems in rivers and oceans.

Where should one place traps? When targets move in a heterogeneous flow environment, the answer is not obvious. The authors formulate flow capture problems involving flows and sinks, and use dynamical-systems techniques to show that blindly positioning traps carries a high risk of failure. Capture efficiency depends on capture rate: Long-term efficiency decreases as the number of traps increases, though short-term efficiency increases. Doubling the number of traps more than doubles the capture rate. This approach will impact engineering solutions ranging from removing atmospheric CO${}_{2}$ to cleaning up oceanic microplastic pollution.

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