Polarizability fluctuations in dielectric materials with quenched disorder

We study a model of dielectric response for spatially disordered materials. In this model the local polarizability alpha (r) is a quenched random vari able. From a one-loop level renormalization-group analysis, we predict that with increasing length scale L, the dimensionless fluctuation strength <(< alpha>)over bar>sigma, where 1/<(<alpha>)over bar> and sigma (2) am the ave rage and the variance of the distribution for 1/alpha (r), decays as 1/L-2 universally at large length scales. The interplay of the random polarizabil ity and the long-range dipole-dipole interaction is discussed.