A schematic model of glassy relaxation through dynamic coupling with defect motions

A self-consistent mode-coupling model for relaxation of density fluctuations in a supercooled liquid in the presence of slowly relaxing defect densities is proposed. The time scale for the final relaxation of the density correlations, in the glassy dynamics is self-consistently determined with that of the defects present in the amorphous system. The exponents of relaxation over various time scales and contribution to the transport coefficients from the mode-coupling effects are calculated