Active colloids are self-propelled particles moving in viscous fluids by consuming fuel from
their surroundings. Here, we review the numerical and theoretical modeling of active …

The past two decades have seen a remarkable progress in the development of synthetic
colloidal agents which are capable of creating directed motion in an unbiased environment …

We theoretically study mixtures of chemically interacting particles, which produce or
consume a chemical to which they are attracted or repelled, in the most general case of …

Active systems such as microorganisms and self-propelled particles show a plethora of
collective phenomena, including swarming, clustering, and phase separation. Control over …

We report on the emergence of spontaneously rotating clusters in active emulsions.
Ensembles of self-propelling droplets sediment and then self-organise into planar …

We study theoretically an active colloid whose polar axis of self-propulsion rotates to point
parallel (antiparallel) to an imposed chemical gradient. We show that the coupling of this …

Through billions of years of evolution, microorganisms mastered unique swimming
behaviors to thrive in complex fluid environments. Limitations in nanofabrication have thus …

Due to the intrinsically complex non‐equilibrium behavior of the constituents of active matter
systems, a comprehensive understanding of their collective properties is a challenge that …

Active matter comprises self-driven units, such as bacteria and synthetic microswimmers,
that can spontaneously form complex patterns and assemble into functional microdevices …

The interactions of autonomous microswimmers play an important role for the formation of
collective states of motile active matter. We study them in detail for the common …