  We present a new numerical tool designed to probe the dense layers of neutron
star crusts. It is based on the Time-Dependent Hartree-Fock-Bogoliubov theory
with generalized Skyrme nuclear energy density functionals, such as the
Brussels-Montreal ones. We use it to study the time evolution of a nucleus
accelerating through superfluid neutron medium in the inner crust of a neutron
star. We extract an effective mass in the low velocity limit. We observe a
threshold velocity and specify mechanisms of dissipation: phonon emission,
Cooper pairs breaking, and vortex rings creation. The microscopic effects we
study have impact on neutron star. Moreover, the mechanisms, we described, are
general and apply also to other fermionic superfluid mixtures like liquid
helium, or ultracold gases.
