  We propose a simple phenomenological model describing composite crystals,
constructed from two parallel sets of periodic inter-penetrating chains. In the
harmonic approximation and neglecting thermal fluctuations we find the
eigenmodes of the system. It is shown that at high frequencies there are two
longitudinal sound modes with standard attenuation, while in the low frequency
region there is one propagating sound mode and an over-damped phase mode. The
crossover between these two regions is analyzed numerically and the dynamical
structure factor is calculated. It is shown that the qualitative features of
the experimentally observed spectra can be consistently described by our model.
