H. Vogt et al., DYNAMICS OF DIPOLAR GLASSES - ELASTIC AND DIELECTRIC-PROPERTIES, Zeitschrift fur Physik. B, Condensed matter, 103(3-4), 1997, pp. 401-416
We have formulated a model for the coupled dynamics of the local polar
ization and the elastic deformations of dipolar glasses. Randomly inte
racting dipoles undergo a phase transition to a glassy state, which is
signalled above Te by a divergence of the relaxation time of the dipo
lar autocorrelation. Dipolar dynamics is directly observable in the dy
namic dielectric susceptibility, for which we predict a power law depe
ndence on frequency at and close to T-c. The slowing down of dipolar d
egrees of freedom also gives rise to dynamic critical anomalies in the
elastic and structural properties, like the appearance of a central p
eak and divergence of the sound damping. All these phenomena are a con
sequence of dynamic scaling of the dipolar autocorrelation and hence i
nterrelated. We discuss two scaling functions in detail: One is calcul
ated within mean field theory and the other one is taken from numerica
l simulations of short range Ising spin glasses. The predictions of th
e model are in accordance with most experimental findings for dipolar
glasses.