  Using Brownian dynamics computer simulations we investigate the dynamics of
the one-body density and one-body current in a one-dimensional system of
particles that interact with a repulsive Gaussian pair potential. We
systematically split the internal force distribution into an adiabatic part,
which originates from the equilibrium free energy, and a superadiabatic
contribution, which is neglected in dynamical density functional theory. We
find a strong dependence of the magnitude and phase of the superadiabatic force
distribution on the initial state of the system. While the magnitude of the
superadiabatic force is small if the system evolves from an equilibrium state
inside of a parabolic external potential, it is large for particles with
equidistant initial separations at high temperature. We analyze these findings
in the light of the known mean-field behavior of Gaussian core particles and
discuss a multi-occupancy mechanism which generates superadiabatic forces that
are out of phase with respect to the adiabatic force.
