Topology of Chaotic Mixing Patterns

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dc.creatorThiffeault, Jean-Luc
dc.creatorFinn, Matthew D.
dc.creatorGouillart, Emmanuelle
dc.creatorHall, Toby
dc.date2008-04-16
dc.date2008-08-26
dc.date.accessioned2026-07-07T09:58:04Z
dc.date.available2026-07-07T09:58:04Z
dc.descriptionA stirring device consisting of a periodic motion of rods induces a mapping of the fluid domain to itself, which can be regarded as a homeomorphism of a punctured surface. Having the rods undergo a topologically-complex motion guarantees at least a minimum amount of stretching of material lines, which is important for chaotic mixing. We use topological considerations to describe the nature of the injection of unmixed material into a central mixing region, which takes place at injection cusps. A topological index formula allow us to predict the possible types of unstable foliations that can arise for a fixed number of rods.
dc.description15 pages, 13 figures, RevTeX4 macros. Final version
dc.identifierhttps://arxiv.org/abs/0804.2520
dc.identifierhttp://arxiv.org/abs/0804.2520
dc.identifierChaos 18, 033123 (2008)
dc.identifierdoi:10.1063/1.2973815
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167577
dc.subjectChaotic Dynamics
dc.titleTopology of Chaotic Mixing Patterns
dc.typetext

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