The mode-coupling theory of the glass transition recently presented by Leutheusser is generalized so that some of the important wave-number dependence neglected in his theory is taken into account. As a consequence the correlation functions which appear in the theory presented here involve a continuous range of relaxation times rather than the single relaxation time obtained by Leutheusser. However, the important exponents describing the divergence in the shear viscosity and the vanishing of the self-diffusion coefficient are very similar in the two theories.

• Received 23 August 1984

DOI:https://doi.org/10.1103/PhysRevA.31.939