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Numerical Evidence for Cutoffs in Chaotic Microfluidic Mixing

[+] Author Affiliations
Tzu-Chen Liang

Stanford University, Stanford, CA

Matthew West

University of Illinois at Urbana-Champaign, Urbana, IL

Paper No. DSCC2008-2293, pp. 1405-1412; 8 pages
  • ASME 2008 Dynamic Systems and Control Conference
  • ASME 2008 Dynamic Systems and Control Conference, Parts A and B
  • Ann Arbor, Michigan, USA, October 20–22, 2008
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-4335-2 | eISBN: 978-07918-3838-9
  • Copyright © 2008 by ASME


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.

Copyright © 2008 by ASME
Topics: Microfluidics



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