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Table 1.

Minimum slope in Eq. (58) and the slope of Eq. (57) in the incompressible limit, for different atmospheric conditions.

Conditions MA Minimum slope Incomp. slope
Coronal 0.066 11415 12486
Photospheric 0.066 1450 1615
Photospheric 0.36 46 52
Coronal 1 47 52
Photospheric 1 4.25 5

Notes. The first two rows are for realistic values of the longitudinal velocity for a slow surface wave on a discontinuous boundary of a cylindrical structure. The third row is for realistic values of the longitudinal velocity around the resonant position for a resonant slow wave in a photospheric pore. The last two lines are examples where MA begins to be unrealistically high and which show that even then the slopes are not low enough to be in an unstable regime. For coronal conditions we took (vAe, vsi, vse) = (5/2, 1/2, 1/4)vAi, whereas for photospheric conditions we took (vAe, vsi, vse) = (1/4, 1/2, 3/4)vAi.

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