Locomotion and transport of microorganisms in fluids is an essential aspect of life. Search
for food, orientation toward light, spreading of off-spring, and the formation of colonies are …

Chemically powered micro‐and nanomotors are small devices that are self‐propelled by
catalytic reactions in fluids. Taking inspiration from biomotors, scientists are aiming to find …

Active colloids are microscopic particles, which self-propel through viscous fluids by
converting energy extracted from their environment into directed motion. We first explain …

A wide range of experimental systems including gliding, swarming and swimming bacteria,
in vitro motility assays, and shaken granular media are commonly described as self …

Differently from passive Brownian particles, active particles, also known as self-propelled
Brownian particles or microswimmers and nanoswimmers, are capable of taking up energy …

Abstract Active Brownian particles (ABPs, such as self-phoretic colloids) swim at fixed speed
v along a body-axis u that rotates by slow angular diffusion. Run-and-tumble particles …

One characteristic feature of soft matter systems is their strong response to external stimuli.
As a consequence they are comparatively easily driven out of their ground state and out of …

Ratchet effects can arise for single or collectively interacting Brownian particles on an
asymmetric substrate when a net dc transport is produced by an externally applied ac …

We develop a statistical theory for the dynamics of non-aligning, non-interacting self-
propelled particles confined in a convex box in two dimensions. We find that when the size …

Because of its nonequilibrium character, active matter in a steady state can drive engines
that autonomously deliver work against a constant mechanical force or torque. As a generic …