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Abnormal mixing of passive scalars in chaotic flows.
MedLine Citation:
PMID:  17500792     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We study the relaxation of a passive scalar towards the uniform equilibrium distribution in an advection-diffusion problem where the phase space for the pure advection problem is a mixture of chaotic domains and elliptic islands. Since the advection-diffusion problem is linear, the relaxation can be characterized by the eigenvalues and eigenmodes of the evolution operator. Almost degenerate eigenvalues then give rise to deviations from simple exponential decay behavior. We show by example that the corresponding eigenmodes can be supported by islands or weakly connected chaotic domains. These theoretical considerations are related to some experimental observations in two-dimensional flows.
Authors:
O V Popovych; A Pikovsky; B Eckhardt
Publication Detail:
Type:  Journal Article     Date:  2007-03-19
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  75     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2007 Mar 
Date Detail:
Created Date:  2007-05-15     Completed Date:  2007-07-17     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  036308     Citation Subset:  -    
Affiliation:
Department of Physics, University of Potsdam, 14415 Potsdam, Germany.
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