  Within a recently developed mode-coupling theory for fluids confined to a
slit we elaborate numerical results for the long-time limits of suitably
generalized intermediate scattering functions. The theory requires as input the
density profile perpendicular to the plates, which we obtain from density
functional theory within the fundamental-measure framework, as well as
symmetry-adapted static structure factors which can be calculated relying on
the inhomogeneous Percus-Yevick closure. Our calculations for the nonergodicity
parameters for both the collective as well as for the self motion are in
qualitative agreement with our extensive event-driven molecular dynamics
simulations for the intermediate scattering functions for slightly polydisperse
hard-sphere systems at high packing fraction. We show that the variation of the
nonergodicity parameters as a function of the wavenumber correlates with the
in-plane static structure factors, while subtle effects become apparent in the
structure factors and relaxation times of higher mode-indices. A criterion to
predict the multiple reentrant from the variation of the in-plane static
structure is presented.
