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A renormalization group analysis of two-dimensional magnetohydrodynamic turbulenceThe renormalization group (RNG) method is used to study the physics of two-dimensional (2D) magnetohydrodynamic (MHD) turbulence. It is shown that, for a turbulent magnetofluid in two dimensions, no RNG transformation fixed point exists on account of the coexistence of energy transfer to small scales and mean-square magnetic flux transfer to large scales. The absence of a fixed point renders the RNG method incapable of describing the 2D MHD system. A similar conclusion is reached for 2D hydrodynamics, where enstrophy flows to small scales and energy to large scales. These analyses suggest that the applicability of the RNG method to turbulent systems is intrinsically limited, especially in the case of systems with dual-direction transfer.
Document ID
19930038412
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Liang, Wenli Z.
(NASA Headquarters Washington, DC United States)
Diamond, P. H.
(California Univ. La Jolla, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Publication Information
Publication: Physics of Fluids B
Volume: 5
Issue: 1
ISSN: 0899-8221
Subject Category
Plasma Physics
Accession Number
93A22409
Funding Number(s)
CONTRACT_GRANT: DE-FG03-88ER-53275
CONTRACT_GRANT: NAGW-2418
Distribution Limits
Public
Copyright
Other

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