Homework

 

1. Assume that there is a source of the magnetosonic turbulence ad(k-k0) at a scale L=2p/k0 and adopt that for fast magnetosonic waves the nonlinear spectral flux is P=Ak3Ws2. Find the stationary spectrum of the fast magnetosonic turbulence Ws(k) in the inertial range. 

2. Assume that for slow magnetosonic waves the nonlinear spectral flux is P=Ck4Ws3. Find the stationary  spectrum of the slow magnetosonic turbulence Ws(k) in the inertial range. 

3. Consider various relations between A and C and plot (qualitatively) the spectrum of the composite turbulence composed of slow and fast magnetosonic waves.

4. Find the condition for the wave dispersion law when 3-wave process can occur for the waves of the same mode.

For all WRT: complete the introduction draft for the written report. Use Latex, e.g., ApJ style (preferable).