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 …

Swarms, which stem from collective behaviors among individual elements, are commonly
seen in nature. Since two decades ago, scientists have been attempting to understand the …

Swimming microrobots that are energized by external magnetic fields exhibit a variety of
intriguing collective behaviors, ranging from dynamic self-organization to coherent motion; …

The remarkable processes that characterize living organisms, such as motility, self-healing
and reproduction, are fuelled by a continuous injection of energy at the microscale. The field …

We study the statistical properties of active Ornstein-Uhlenbeck particles (AOUPs). In this
simplest of models, the Gaussian white noise of overdamped Brownian colloids is replaced …

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 …

Activity and autonomous motion are fundamental in living and engineering systems. This
has stimulated the new field of'active matter'in recent years, which focuses on the physical …

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

Self-propelled particles include both self-phoretic synthetic colloids and various
microorganisms. By continually consuming energy, they bypass the laws of equilibrium …

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 …