We formulated time-dependent Ginzburg-Landau theory of superconductivity for crystals in motion.
See the paper
Time-dependent Ginzburg-Landau equations for rotating and accelerating superconductors
P. Lipavský, J. Bok, J. Koláček
Physica C 492 (2013) 144
Sketch of entrainment. Individual wagons correspond to crystal elementary cells on which the electron is reflected. The motion is a mixture of forward and backward trajectories resulting in the mean velocity slower than the free velocity between reflections.