Fluctuating hydrodynamic models for supercooled liquids and development of long relaxation times

Two fluctuating hydrodynamic models for the supercooled liquid are considered. The self-consistent mode coupling theory for the slow relaxation of density fluctuations are analyzed to explain the glassy dynamics. The density correlation function decays to zero in the long-time limit with diffusive kernels which are identical in both the models. The time scales introduced with the present formulation of the coupling of density fluctuations and current fluctuations shows agreement with behavior of a wide range of simulations and experiments. The renormalization of the various transport coefficients in the two models are also compared. © 1996 The American Physical Society.