The development of chaotic advection

By Hassan Aref. 2002

501 citations recorded by the source corpus.

The concept of chaotic advection was developed some twenty years ago as an outgrowth of work on advection by interacting point vortices. The term “chaotic advection” was first introduced in the title of an abstract for the 35th annual meeting of the American Physical Society (APS) Division of Fluid Dynamics (DFD) in 1982. The main reference, a Journal of Fluid Mechanics paper published in 1984, may be the true “birthdate” of the term. Earlier work from the 1960s by Arnol’d and Henon on advection by steady three-dimensional flows already contained closely related ideas and results but was not widely appreciated. The present paper, based on the 2000 Otto Laporte Memorial Lecture delivered at the 53rd APS/DFD annual meeting, traces these and other precursors and the development of chaotic advection over the past two decades. Some exciting recent developments, such as application to fluid mixing in micro-electromechanical systems (MEMS) and to materials processing, and the introduction of topological methods ...

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a7d8c90dfe5dd67c6d77df554a63c1faa881a085

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems (2012, background): “Transport and mixing processes [36, 1, 50] play an important role in many natural phenomena and their mathematical analysis has received considerable interest in the last two decades.”
Almost-invariant sets and invariant manifolds — Connecting probabilistic and geometric descriptions of coherent structures in flows (2009, background): “Note that the densitiesχ[0,1]×[0,1] andχ[1,2]×[0,1] are both fixed under Pτ for all τ .”
Chaotic mixing in three-dimensional microvascular networks fabricated by direct-write assembly (2003, background): “Chaotic advection promotes the rapid (exponential) stretching and folding of fluid interfaces within a complicated flow domai”
Frontiers of chaotic advection (2014, background): “The 2000 Laporte Prize lecture (Aref, 2002) links chaotic advection with dynamical-systems theory, which is the central theme of this review; its basic ideas are our starting point.”
Microfluidics: Fluid physics at the nanoliter scale (2005, background): “This forms the basis for Aref’s classic mixing strategy, chaotic advection Aref, 1984, 2002 .”
Advancing controlled release packaging through smart blending (2005, background): “mechanics, with wide ramifications and promises in material processing and other applications.(65,67) Recently, it has drawn interest as a prospective technology for the manufacture of nano-scale materials.”