Generic properties of elastic phonon transport at a disordered interface ar
e studied. The results show that phonon transmittance is a strong function
of frequency and the disorder correlation length. At frequencies lower than
the van Hove singularity the transmittance at a given frequency increases
as the correlation length decreases. At low frequencies, this is reflected
by different power laws for phonon conductance across correlated and uncorr
elated disordered interfaces which are in approximate agreement with the pe
rturbation theory of an elastic continuum. These results can be understood
in terms of simple mosaic and two-color models of the interface. [S0163-182
9(99)02033-0].