  The spectral density for vector vibrations in the f.c.c. lattice with
force-constant disorder is analysed within the coherent potential
approximation. The phase diagram showing the weak- and strong-scattering
regimes is presented and compared with that for electrons. The weak-scattering
regime for external long-wavelength vibrational plane waves is shown to be due
to sum-rule correlations in the dynamical matrix. A secondary peak below the
Brillouin peak for sufficiently large wavevectors is found for the lattice
models. The results obtained are supported by precise numerical solutions.
