  Superadiabatic dynamical density functional theory (superadiabatic-DDFT), a
first-principles approach based on the inhomogeneous two-body correlation
functions, is employed to investigate the response of interacting Brownian
particles to time-dependent external driving. Predictions for the
superadiabatic dynamics of the one-body density are made directly from the
underlying interparticle interactions, without need for either adjustable fit
parameters or simulation input. The external potentials we investigate have
been chosen to probe distinct aspects of structural relaxation in dense,
strongly interacting liquid states. Nonequilibrium density profiles predicted
by the superadiabatic theory are compared with those obtained from both
adiabatic DDFT and event-driven Brownian dynamics simulation. Our findings show
that superadiabatic-DDFT accurately predicts the time-evolution of the one-body
density.
