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On the validity of nonlinear Alfvén resonance in space plasmas

Clack, C.T.C., Ballai, I. and Ruderman, M.S. (2009) On the validity of nonlinear Alfvén resonance in space plasmas. Astronomy & Astrophysics, 494 (1). pp. 317-327. ISSN 0004-6361

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Abstract

Aims. In the approximation of linear dissipative magnetohydrodynamics (MHD), it can be shown that driven MHD waves in magnetic plasmas with high Reynolds number exhibit a near resonant behaviour if the frequency of the wave becomes equal to the local Alfvén (or slow) frequency of a magnetic surface. This behaviour is confined to a thin region, known as the dissipative layer, which embraces the resonant magnetic surface. Although driven MHD waves have small dimensionless amplitude far away from the resonant surface, this near-resonant behaviour in the dissipative layer may cause a breakdown of linear theory. Our aim is to study the nonlinear effects in Alfvén dissipative layer Methods. In the present paper, the method of simplified matched asymptotic expansions developed for nonlinear slow resonant waves is used to describe nonlinear effects inside the Alfvén dissipative layer. Results. The nonlinear corrections to resonant waves in the Alfvén dissipative layer are derived, and it is proved that at the Alfvén resonance (with isotropic/anisotropic dissipation) wave dynamics can be described by the linear theory with great accuracy.

Item Type: Article
Copyright, Publisher and Additional Information: © ESO 2009. Reproduced in accordance with the publisher's self-archiving policy.
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Mrs Megan Hobbs
Date Deposited: 09 Mar 2010 15:56
Last Modified: 08 Feb 2013 17:00
Published Version: http://dx.doi.org/10.1051/0004-6361:200811106
Status: Published
Publisher: EDP Sciences
Refereed: Yes
Identification Number: 10.1051/0004-6361:200811106
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/10489

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