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 …

Active systems are driven out of equilibrium by exchanging energy and momentum with their
environment. This endows them with anomalous mechanical properties that are reviewed in …

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

We establish the complete phase diagram of self-propelled hard disks in two spatial
dimensions from the analysis of the equation of state and the statistics of local order …

Active-matter systems operate far from equilibrium because of the continuous energy
injection at the scale of constituent particles. At larger scales, described by coarse-grained …

Unlike in thermodynamic equilibrium where coexisting phases always have the same
temperature, here we show that systems comprising “active” self-propelled particles can self …

The spatiotemporal dynamics in systems of active self-propelled particles is controlled by the
propulsion mechanism in combination with various direct interactions, such as steric …

The stationary-state distribution function of confined active Brownian particles (ABPs) is
analyzed by computer simulations and analytical calculations. We consider a radial …

We study, from first principles, the pressure exerted by an active fluid of spherical particles
on general boundaries in two dimensions. We show that, despite the nonuniform pressure …

The theoretical understanding of active matter, which is driven out of equilibrium by directed
motion, is still fragmental and model oriented. Stochastic thermodynamics, on the other …