  Vortices in type-II superconductors have attracted enormous attention as
ideal systems in which to study nonequilibrium collective phenomena, since the
self-ordering of the vortices competes with quenched disorder and thermal
effects. Dynamic effects found in vortex systems include depinning,
nonequilibrium phase transitions, creep, structural order-disorder transitions,
and melting. Understanding vortex dynamics is also important for applications
of superconductors which require the vortices either to remain pinned or to
move in a controlled fashion. Recently, topological defects called skyrmions
have been realized experimentally in chiral magnets. Here we highlight
similarities and differences between skyrmion dynamics and vortex dynamics.
Many of the previous ideas and experimental setups that have been applied to
superconducting vortices can also be used to study skyrmions. We also discuss
some of the differences between the two systems, such as the potentially large
contribution of the Magnus force in the skyrmion system that can dramatically
alter the dynamics and transport properties.
