Abstract
The spectrum of propagating waves and instabilities on a current-carrying, zero gas pressure, twisted magnetic flux loop is analysed for several models of the magnetic field structure. A surface wave mode of the fast Alfvén wave is found to exist, with damping of the wave when Alfvén resonance absorption occurs. If the loop is surrounded by a uniform, purely axial magnetic field, then the surface wave is always stable. If the loop is surrounded by a nonuniform field which is continuous with the loop's field, then the surface wave may connect to the unstable external kink mode.
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Cramer, N.F., Donnelly, I.J. Perturbations of a twisted solar coronal loop: The relation between surface waves and instabilities. Sol Phys 99, 119–132 (1985). https://doi.org/10.1007/BF00157303
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DOI: https://doi.org/10.1007/BF00157303