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Sausage oscillations of coronal loops

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Figure

Fig. 3. A typical dispersion relation for a trapped sausage mode ofgitudinal wave numberThe sausage mode dispersion curve has a cut-oequals the external Alfvén speed, which defines the regions of trappeda cylindric magnetic structure, showing the dependence of the phasespeed ω/k, normalised by the external Alfvén speed, upon the lon- k, normalised by the structure’s half-width a.ff when the phase speedand leaky solutions.
Fig. 4. A possible transverse dependence of the equilibrium plasma den-sity, given by a symmetric Epstein profile
Fig. 5. Oscillations of the parallel component of the magnetic field at theloop apex for loops of length a) 15 Mm and b) 60 Mm, corresponding totrapped and leaky modes respectively
Fig. 7. A close-up of Fig. 6 for small loop lengths. In this limit the globalsausage mode is trapped and period of oscillation is determined by theinternal Alfvén speed.

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