The Viscous MHD Spectra: Application to Coronal Loop Heating and Stability

Details The Viscous MHD Spectra: Application to Coronal Loop Heating and Stability The Viscous MHD Spectra: Application to Coronal Loop Heating and Stability

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996plas.work..170s&link_type=abstract

Proceedings of the Fourth Brazilian Meeting on Plasma Physics and the Sixth Brazilian Plasma Astrophysics Workshop, p. 170

Physics

Magnetohydrodynamics, Lagrangian Function, Equations Of Motion, Eigenvalues, Cylindrical Plasmas, Coronal Loops, Continuous Spectra, Plasmas (Physics), Stability, Viscosity, Nonlinearity, Equilibrium Equations, Displacement, Boundary Conditions

Scientific paper

We have derived the viscous MHD equilibrium and perturbed equations for a current carrying cylindrical plasma in a previous paper. We have considered compressible plasmas and, the viscosity is introduced in the equation of motion leading to a linearized third order perturbed equation for the fluid displacement. Including the flowing equilibrium and viscosity, we have shown the appearance of non Hermitian operators. The Lagrangian representation is used to investigate the stability. We solve the eigenmode equation, which is non linear in the eigenvalue, for the problem of coronal loop heating, using a numerical code based on the software 'Mathematica', with appropriate boundary conditions. We have shown that viscosity is relevant as the dominant mechanism for the coronal loop heating in our self-consistent calculation as indicated by previous non self-consistent work. ln the limit of zero viscosity, we obtain the discrete and continuous spectra and some unstable points.

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