Model for glass transition in a binary fluid from a mode coupling approach

We consider the mode coupling theory (MCT) of glass transition for a binary fluid. The equations of nonlinear fluctuating hydrodynamics for the compressible fluid are obtained with a proper choice of slow variables which correspond to the conservation laws in the system. The resulting model equations are used to obtain a coupled set of nonlinear integro-differential equations for the various correlations of partial density fluctuations. These equations are then solved self consistently in the long-time limit to locate the dynamic transition in the system. The transition point from our model is at considerably higher density than predicted in the other existing MCT models for binary systems.