  We propose and compare different strategies to construct dynamic density
functional theories (DDFTs) for inhomogeneous polymer systems close to
equilibrium from microscopic simulation trajectories. We focus on the
systematic construction of the mobility coefficient, $\Lambda(r,r')$, which
relates the thermodynamic driving force on monomers at position $r'$ to the
motion of monomers at position $r$. A first approach based on the Green-Kubo
formalism turns out to be impractical because of a severe plateau problem.
Instead, we propose to extract the mobility coefficient from an effective
characteristic relaxation time of the single chain dynamic structure factor. To
test our approach, we study the kinetics of ordering and disordering in diblock
copolymer melts. The DDFT results are in very good agreement with the data from
corresponding fine-grained simulations.
