Magnetic wave energy fluxes for late-type stars - I. Longitudinal tube waves

The wave energy fluxes carried by longitudinal tube waves along thin vertic al magnetic flux tubes embedded in atmospheres of late-type stars are compu ted. The main physical process responsible for the generation of these wave s is the nonlinear time-dependent response of the flux tubes to continuous and impulsive external turbulent pressure fluctuations, which are represent ed here by an extended Kolmogorov spatial and modified Gaussian temporal en ergy spectrum. Both the wave energy fluxes and spectra are calculated for p opulation I stars with effective temperatures ranging from T-eff = 3500 K t o 7000 K, and with gravities in the range log g = 3-5. The obtained results show that the computed wave energy may significantly contribute to the enh anced heating observed in magnetic regions of late-type stars.