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Nonlinear resonant absorption of fast magnetoacoustic waves in strongly anisotropic and dispersive plasmas

Ballai, I. and Clack, C.T.C. (2009) Nonlinear resonant absorption of fast magnetoacoustic waves in strongly anisotropic and dispersive plasmas. Physics of Plasmas, 16 (4). Art. No. 042305. ISSN 1070-664X

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Abstract

The nonlinear theory of driven magnetohydrodynamics (MHD) waves in strongly anisotropic and dispersive plasmas, developed for slow resonance by Clack and Ballai [Phys. Plasmas 15, 2310 (2008)] and Alfvén resonance by Clack et al. [Astron. Astrophys. 494, 317 (2009)] , is used to study the weakly nonlinear interaction of fast magnetoacoustic (FMA) waves in a one-dimensional planar plasma. The magnetic configuration consists of an inhomogeneous magnetic slab sandwiched between two regions of semi-infinite homogeneous magnetic plasmas. Laterally driven FMA waves penetrate the inhomogeneous slab interacting with the localized slow or Alfvén dissipative layer and are partly reflected, dissipated, and transmitted by this region. The nonlinearity parameter defined by Clack and Ballai (2008) is assumed to be small and a regular perturbation method is used to obtain analytical solutions in the slow dissipative layer. The effect of dispersion in the slow dissipative layer is to further decrease the coefficient of energy absorption, compared to its standard weakly nonlinear counterpart, and the generation of higher harmonics in the outgoing wave in addition to the fundamental one. The absorption of external drivers at the Alfvén resonance is described within the linear MHD with great accuracy.

Item Type: Article
Copyright, Publisher and Additional Information: © 2009 American Institute of Physics. This is an author produced version of a paper published in 'Physics of Plasmas'. Uploaded in accordance with the publisher's self-archiving policy.
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Mrs Megan Hobbs
Date Deposited: 17 Mar 2010 13:48
Last Modified: 15 Jun 2014 07:57
Published Version: http://dx.doi.org/10.1063/1.3104714
Status: Published
Publisher: American Institute of Physics
Identification Number: 10.1063/1.3104714
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/10575

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