Numerical investigations of mode coupling approximations for the glass transition in Lennard-Jones systems

This paper is a very brief partial account of a Master Thesis completed by F. Smolej in January 1991. Its first part answers some questions that had arisen from numerical results obtained by Bengtzelius in first order mode coupling approximation. The second part is an attempt to extend the numerical calculation to the second order of the mode coupling scheme. Results shall be shown for the density-density and transversal current-current correlation functions for several wave numbers.