  Superfluidity is a generic feature of various quantum systems at low
temperatures and it is in particular important for the description of dynamics
of low energy nuclear reactions. The time-dependent density functional theory
(TDDFT) is, to date, the only microscopic method which takes into account in a
consistent way far from equilibrium dynamics of pairing field and
single-particle degrees of freedom. The local version of TDDFT, so called
TDSLDA, is particularly useful for the description of nuclear reactions and is
well suited for leadership class computers of hybrid (CPU+GPU) architecture.
The preliminary results obtained for collisions involving both medium-mass and
heavy nuclei at the energies around the Coulomb barrier are presented.
