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Nonlinear theory of resonant slow waves in anisotropic and dispersive plasmas

Clack, C.T.C. and Ballai, I. (2008) Nonlinear theory of resonant slow waves in anisotropic and dispersive plasmas. Physics of Plasmas, 15 (8). Art. No. 082310. ISSN 1089-7674

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The solar corona is a typical example of a plasma with strongly anisotropic transport processes. The main dissipative mechanisms in the solar corona acting on slow magnetoacoustic waves are the anisotropic thermal conductivity and viscosity [Ballai et al., Phys. Plasmas 5, 252 (1998)] developed the nonlinear theory of driven slow resonant waves in such a regime. In the present paper the nonlinear behavior of driven magnetohydrodynamic waves in the slow dissipative layer in plasmas with strongly anisotropic viscosity and thermal conductivity is expanded by considering dispersive effects due to Hall currents. The nonlinear governing equation describing the dynamics of nonlinear resonant slow waves is supplemented by a term which describes nonlinear dispersion and is of the same order of magnitude as nonlinearity and dissipation. The connection formulas are found to be similar to their nondispersive counterparts.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 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: 12 Mar 2010 13:51
Last Modified: 18 Nov 2015 06:16
Published Version: http://dx.doi.org/10.1063/1.2970947
Status: Published
Publisher: American Institute of Physics
Identification Number: 10.1063/1.2970947
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/10486

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