Computer Science
Scientific paper
Oct 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002esasp.505..373c&link_type=abstract
In: SOLMAG 2002. Proceedings of the Magnetic Coupling of the Solar Atmosphere Euroconference and IAU Colloquium 188, 11 - 15 Jun
Computer Science
Solar Atmosphere, Heating
Scientific paper
The equations of MHD (magnetohydrodynamics) are written for non-uniform viscosity and resistivity, the latter in the cases of Ohmic and anisotropic resistivity; in the case of Ohmic (anisotropic) diffusivity, there is one (two) transverse components of the velocity and magnetic field perturbation, leading to a second-order (fourth-order) dissipative Alfvén wave equation. In the more general case of dissipative Alfvén waves with viscosity and anisotropic resistivity, the fourth-order wave equation may be replaced by two decoupled second order equations for right and left-polarized waves, whose dispersion relation shows that the first resistive diffusivity causes dissipation like the viscosity, whereas the second resistive diffusivity causes a change in propagation speed. The relevance of the anisotropic resistivity to the heating of the solar atmosphere by dissipation of Alfvén waves is discussed.
Campos M. B. C. L.
Mendes M. V. M. P.
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