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Chaotic advection, diffusion, and reactions in open flows ; Chaos

Title: Chaotic advection, diffusion, and reactions in open flows ; Chaos
Authors: Tel, T.; Karolyi, G.; Pentek, A.; Scheuring, I.; Toroczkai, Z.; Grebogi, C.; Kadtke, J.
Contributors: Physics; Virginia Tech
Publisher Information: AIP Publishing
Publication Year: 2000
Collection: VTechWorks (VirginiaTech)
Subject Terms: open hydrodynamical flows; leapfrogging vortex pairs; 2-dimensional; Turbulence; point vortices; random maps; velocity-field; fluid-flows; scattering; system; boundaries
Description: We review and generalize recent results on advection of particles in open time-periodic hydrodynamical flows. First, the problem of passive advection is considered, and its fractal and chaotic nature is pointed out. Next, we study the effect of weak molecular diffusion or randomness of the flow. Finally, we investigate the influence of passive advection on chemical or biological activity superimposed on open flows. The nondiffusive approach is shown to carry some features of a weak diffusion, due to the finiteness of the reaction range or reaction velocity. (C) 2000 American Institute of Physics. [S1054-1500(00)02001-2]. ; NSF-DMR ; ONR (physics) ; CNPq/NSF-INT ; DOE ; NSF-MRSEC at University of Maryland ; US-Hungarian Science and Technology Joint Fund under Project Nos. 286 and 501 ; Hungarian Science Foundation T019483, T022929, T025793, T029789, F029637, and M28413.
Document Type: article in journal/newspaper
File Description: application/pdf
Language: English
Relation: Tel, T.; Karolyi, G.; Pentek, A.; Scheuring, I.; Toroczkai, Z.; Grebogi, C.; Kadtke, J., "Chaotic advection, diffusion, and reactions in open flows," Chaos 10, 89 (2000); http://dx.doi.org/10.1063/1.166478; http://hdl.handle.net/10919/47031; http://scitation.aip.org/content/aip/journal/chaos/10/1/10.1063/1.166478; https://doi.org/10.1063/1.166478
DOI: 10.1063/1.166478
Availability: http://hdl.handle.net/10919/47031; http://scitation.aip.org/content/aip/journal/chaos/10/1/10.1063/1.166478; https://doi.org/10.1063/1.166478
Rights: In Copyright ; http://rightsstatements.org/vocab/InC/1.0/
Accession Number: edsbas.A5FF0458
Database: BASE