Microscopic theory for hopping transport in glass-forming liquids: mode coupling corrections

By introducing an order parameter that describes the geometry of clusters o f particles, Liu and Oppenheim [Physica A 247 (1997) 183] developed a micro scopic theory for hopping transport in glass-forming liquids. In this work we bring this theory within the frame of mode coupling theories in the high ly viscous regime. We calculate corrections to the effective longitudinal v iscosity that affect its long-time dynamical behavior. Nevertheless, the re lation between the longitudinal viscosity and the hopping kernel is not qua litatively altered by mode coupling. (C) 1999 Elsevier Science B.V. All rig hts reserved.