Document Detail


Ergodicity of ideal Galerkin three-dimensional magnetohydrodynamics and Hall magnetohydrodynamics models.
MedLine Citation:
PMID:  18999521     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We explore the problem of the ergodicity of magnetohydrodynamics and Hall magnetohydrodynamics in three-dimensional, ideal Galerkin systems that are truncated to a finite number of Fourier modes. We show how single Fourier modes follow the Gibbs ensemble prediction, and how the ergodicity of the phase space is restored for long-time Galerkin solutions. Running time averages and two-time correlation functions show, at long times, a convergence towards zero of time averaged single Fourier modes. This suggests a delayed approach to, rather than a breaking of, ergodicity. Finally, we present some preliminary ideas concerning the origin of the associated time scales.
Authors:
S Servidio; W H Matthaeus; V Carbone
Publication Detail:
Type:  Journal Article; Research Support, U.S. Gov't, Non-P.H.S.     Date:  2008-10-02
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  78     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2008 Oct 
Date Detail:
Created Date:  2008-11-12     Completed Date:  2009-02-02     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:  046302     Citation Subset:  -    
Affiliation:
Bartol Research Institute, University of Delaware, Newark, Delaware 19716, USA.
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