  Motivated by a number of recent experimental and computational studies of the
dynamics of fluids plunged in quenched-disordered external fields, we report on
a theoretical investigation of this topic within the framework of the
mode-coupling theory, based on the simple model of the hard-sphere fluid in a
Gaussian random field. The possible dynamical arrest scenarios driven by an
increase of the disorder strength and/or of the fluid density are mapped, and
the corresponding evolutions of time-dependent quantities typically used for
the characterization of anomalous self-diffusion are illustrated with detailed
computations. Overall, a fairly reasonable picture of the dynamics of the
system at hand is outlined, which in particular involves a non-monotonicity of
the self-diffusion coefficient with fluid density at fixed disorder strength,
in agreement with experiments. The disorder correlation length is shown to have
a strong influence on the latter feature.
