Self modulation of slow magnetosonic waves and turbulence generation in solar coronal loops

A mechanism based on turbulence for solar coronal heating has been introduced in the present work. Turbulence is considered as an important tool for heating. In the present work, turbulence generation takes place due to the nonlinear interaction of the magnetohydrodynamic waves. Slow magnetosonic waves get localized due to the density perturbations, which are assumed to be present in the background. These perturbations are associated with the low frequency slow magnetosonic waves that are supposed to be propagating in the coronal environment. The dynamics of high (0.01 Hz) and low frequency (0.001 Hz) slow magnetosonic waves have been studied by the two-fluid model and simulate numerically with the pseudo-spectral method. The power law index having a value of nearly -5/3 is obtained, which represents Kolmogorov scaling before the first break point. Based on the fact that the energy flux calculated from the Kolmogorov scaling is sufficient to heat the coronal loops as mentioned in the literature, the proposed interaction can be considered a source for turbulence generation having Kolmogorov scaling.