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Alfve´n continuum with toroidicity

 

作者: S. Riyopoulos,   S. Mahajan,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1986)
卷期: Volume 29, issue 3  

页码: 731-740

 

ISSN:0031-9171

 

年代: 1986

 

DOI:10.1063/1.865926

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The symmetry property of the magnetohydrodynamic (MHD) wave propagation operator is utilized to express the toroidal eigenmodes as a superposition of the mutually orthogonal cylindrical modes. Because of the degeneracy among cylindrical modes with the same frequency but resonant surfaces of different helicity, the toroidal perturbation produces a zeroth‐order mixing of the above modes. The toroidal eigenmodes of frequency &ohgr;20have multiple resonant surfaces, with each surface shifted relative to its cylindrical position and carrying a multispectral content. Thus a single helicity toroidal antenna of frequency &ohgr;0couples strongly to all different helicity resonant surfaces with matching local Alfve´n frequency. Zeroth‐order coupling between modes in the continuum and global Alfve´n modes also results from toroidicity and degeneracy. The perturbation technique used in this study is the MHD counterpart of the quantum‐mechanical methods and is applicable through the entire range of the MHD spectrum.

 

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