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The success of the shear-transformation-zone (STZ) theory in accounting forbroadly peaked, frequency-dependent, glassy viscoelastic response functions isbased on the theory's first-principles prediction of a wide range of internalSTZ transition rates. Here, I propose that the STZ's are the dynamicheterogeneities frequently invoked to explain Stokes-Einstein violations andstretched-exponential relaxation in glass-forming materials. I find that, to beconsistent with observations of Fickian diffusion near $T_g$, an STZ-baseddiffusion theory must include cascades of correlated events, but that thetemperature dependence of the Stokes-Einstein ratio is determined by anSTZ-induced enhancement of the viscosity. Stretched-exponential relaxation ofdensity fluctuations emerges from the same distribution of STZ transition ratesthat predicts the viscoelastic behavior.

Shear-Transformation-Zone Theory of Glassy Diffusion, Stretched Exponentials, and the Stokes-Einstein Relation