Numerical evidence for cutoffs in chaotic microfluidic mixing
T.-C. Liang and M. West
in Proceedings of the 2008 ASME Dynamic Systems and Control Conference (DSCC 2008), 2008.
Chaotic mixing strategies produce high mixing rates in microfluidic channels and other applications. In prior numerical and experimental work the variance of a tracer field in a chaotic mixer has been observed to decay rapidly after an initial slower transient. We relate this to the cutoff phenomenon observed in finite Markov chains and provide numerical evidence to suggest that chaotic mixing indeed exhibits cutoff. We provide results for a herringbone passive microfluidic mixer and the Standard Map.
Full text: LiWe2008.pdf