Transport coefficients at metastable densities from models of generalized hydrodynamics

Abstract

The fully wave vector dependent extended mode coupling model is studied with the inclusion of an additional slow variable of the defect density for the amorphous system. We use the extremely slow relaxation of the density correlation function observed in the light scattering experiments on colloids to estimate the input parameters for the model. We demonstrate here that even in the case of colloids, the mode coupling model with an ergodicity restoring mechanism is applicable. We compute the enhancement in the long time transport coefficients which in the present case are finite unlike the simple version of the model.