  We study the response of the solar atmosphere to excitations by large
amplitude acoustic waves with radiation damping now included. Monochromatic
adiabatic waves, due to unbalanced heating, generate continuously rising
chromospheric temperature plateaus in which the low frequency resonances
quickly die out. All non-adiabatic calculations lead to stable mean
chromospheric temperature distributions determined by shock dissipation and
radiative cooling. For non-adiabatic monochromatic wave excitation, a critical
frequency f_cr ~ 1/25 Hz is confirmed, which separates domains of different
resonance behaviour. For waves of frequency f < f_cr, the resonances decay,
while for waves of f > f_cr persistent resonance oscillations occur, which are
perpetuated by shock merging. Excitation with acoustic frequency spectra
produces distinct dynamical mean chromosphere models where the detailed
temperature distributions depend on the shape of the assumed spectra. The
stochasticity of the spectra and the ongoing shock merging lead to a persistent
resonance behaviour of the atmosphere. The acoustic spectra show a distinct
shape evolution with height such that at great height a pure 3 min band becomes
increasingly dominant. With our Eulerian code we did not find appreciable mass
flows at the top boundary.
