Abstract:
The effect of applying external pressure fluctuations on slender flux tubes is studied as a nonlinear initial value problem. It is shown that persistent nonlinear resonant response to pressure fluctuations is possible for slender magnetic flux tubes. Radiation does not seem to significantly damp the resonance for forcing periods much larger than the cooling time. Thus, the absence of observational evidence for resonant interaction between the narrow band five-minute oscillations and the tubes seems to indicate that the tubes are shorter than the extent of the eigenfunction of the oscillations.
