Resistive wave dissipation on magnetic inhomogeneities Normal modes and phase mixing

Details Resistive wave dissipation on magnetic inhomogeneities Normal modes and phase mixing Resistive wave dissipation on magnetic inhomogeneities Normal modes and phase mixing

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...295..213s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 295, Aug. 1, 1985, p. 213-219.

Astronomy and Astrophysics

Astrophysics

38

Magnetohydrodynamic Waves, Modes (Standing Waves), Nonuniform Magnetic Fields, Plasma Heating, Wave Dispersion, Coronal Loops, Solar Corona

Scientific paper

Numerical solutions of the linearized, resistive MHD equations indicate the presence of two characteristic forms of wave decay on magnetic inhomogeneities. Solutions for relatively long-wavelength disturbances and large values of the resistivity have the behavior of decaying normal modes. In the opposite limits, phase mixing becomes important, with the eventual build-up of large spatial gradients in which the resistive terms dominate. This composite behavior is shown to be conceptually consistent with analytic results, which predict that the complete solution consists of the sum of collective and non-collective contributions. The numerical simulations go beyond analytic theory by defining where each contribution prevails and computing wave decay when phase mixing is effective. The dispersion relation in the normal-mode regime is also determined analytically, with some approximations, and is in good agreement with the numerical solution. The decay time of the normal modes varies with Lundquist number at S1/6, while the phase-mixed decay time scales as S1/3.

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