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 …

Active matter extracts energy from its surroundings at the single particle level and transforms
it into mechanical work. Examples include cytoskeleton biopolymers and bacterial …

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 …

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 …

Various types of structures self-organised by animals exist in nature, such as bird flocks and
insect swarms, which stem from the local communications of vast numbers of limited …

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

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 …

Fluid dynamics plays a crucial role in many cellular processes, including the locomotion of
cells such as bacteria and spermatozoa. These organisms possess flagella, slender …

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

Bacteria predate plants and animals by billions of years. Today, they are the world's smallest
cells, yet they represent the bulk of the world's biomass and the main reservoir of nutrients …