  Active colloids are microscopic particles, which self-propel through viscous
fluids by converting energy extracted from their environment into directed
motion. We first explain how articial microswimmers move forward by generating
near-surface flow fields via self-phoresis or the self-induced Marangoni
effect. We then discuss generic features of the dynamics of single active
colloids in bulk and in confinement, as well as in the presence of gravity,
field gradients, and fluid flow. In the third part, we review the emergent
collective behavior of active colloidal suspensions focussing on their
structural and dynamic properties. After summarizing experimental observations,
we give an overview on the progress in modeling collectively moving active
colloids. While active Brownian particles are heavily used to study collective
dynamics on large scales, more advanced methods are necessary to explore the
importance of hydrodynamic and phoretic particle interactions. Finally, the
relevant physical approaches to quantify the emergent collective behavior are
presented.
