Journal article
Resonant mixing in perturbed action-action-angle flow
Physical review. E, Statistical, nonlinear, and soft matter physics, v 78(2), pp 026302-026302
01 Aug 2008
PMID: 18850931
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
This paper presents a quantitative theory of mixing via chaotic advection in near-integrable time-dependent volume-preserving flows for the case when the base (unperturbed) flow possesses two invariants (or actions). Using a model cellular flow introduced by Solomon and Mezic as an example, we construct a quantitative theory of mixing caused by the resonance-induced diffusion of an adiabatic invariant of the flow. We compute the fraction of the mixed volume as a function of the frequency of the perturbation and show that this function is strikingly nonmonotonic, with multiple peaks. In particular, essentially complete mixing inside a flow cell is achieved on experimentally accessible time scales for certain special frequencies.
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Details
- Title
- Resonant mixing in perturbed action-action-angle flow
- Creators
- Dmitri L. Vainchtein - Georgia Institute of TechnologyJohn Widloski - Georgia Institute of TechnologyRoman O. Grigoriev - Georgia Institute of Technology
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, v 78(2), pp 026302-026302
- Publisher
- Amer Physical Soc
- Number of pages
- 11
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- C. and J. Nyheim Plasma Institute
- Web of Science ID
- WOS:000259263700053
- Scopus ID
- 2-s2.0-49449095817
- Other Identifier
- 991021862312104721
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InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical