Active matter, which ranges from molecular motors to groups of animals, exists at different
length scales and timescales, and various computational models have been proposed to …

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 …

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

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 …

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 …

This review summarizes theoretical progress in the field of active matter, placing it in the
context of recent experiments. This approach offers a unified framework for the mechanical …

We study a system of purely repulsive spherical self-propelled particles in the minimal setup
inducing motility-induced phase separation (MIPS). We show that, even if explicit alignment …

Turbulence is ubiquitous, from oceanic currents to small-scale biological and quantum
systems. Self-sustained turbulent motion in microbial suspensions presents an intriguing …