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 …

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 …

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 …

Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern
statistical mechanics. It is an extension of the highly successful method of classical density …

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 …

Active particles that are self-propelled by converting energy into mechanical motion
represent an expanding research realm in physics and chemistry. For micrometer-sized …

We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

In this Letter, we explore experimentally the phase behavior of a dense active suspension of
self-propelled colloids. In addition to a solidlike and gaslike phase observed for high and …

Active matter encompasses systems whose individual constituents dissipate energy to exert
propelling forces on their environment. These systems exhibit dynamical phenomena with …