Document Detail


Paradoxes of magnetorotational instability and their geometrical resolution.
MedLine Citation:
PMID:  22060489     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
Magnetorotational instability (MRI) triggers turbulence and enables outward transport of angular momentum in hydrodynamically stable accretion discs. By using the WKB approximation and methods of singular function theory, we resolve two different paradoxes of MRI that appear in the limits of infinite and vanishing magnetic Prandtl number. For the latter case, we derive a strict limit of the critical Rossby number. This limit of Ro_{c}=-0.802, which appears for a finite Lundquist number of S=0.618, extends the formerly known inductionless Liu limit of Ro_{c}=-0.828 valid at S=0.
Authors:
Oleg N Kirillov; Frank Stefani
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2011-9-7
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  84     ISSN:  1550-2376     ISO Abbreviation:  -     Publication Date:  2011 Sep 
Date Detail:
Created Date:  2011-11-8     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  -    
Other Details:
Languages:  ENG     Pagination:  036304     Citation Subset:  -    
Affiliation:
Helmholtz-Zentrum Dresden Rossendorf Post Office Box 510119, D-01314 Dresden, Germany.
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