Nonlinear theory of resonant slow waves in anisotropic and dispersive plasmas

Details Nonlinear theory of resonant slow waves in anisotropic and dispersive plasmas Nonlinear theory of resonant slow waves in anisotropic and dispersive plasmas

2008-08-23

arxiv.org/abs/0808.3193v1

Phys. Plasmas 15, 082310 (2008)

Astronomy and Astrophysics

Astrophysics

Scientific paper

10.1063/1.2970947

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 behaviour 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 formulae are found to be similar to their non-dispersive counterparts.

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