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

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 …

Active matter systems are driven out of thermal equilibrium by a lack of generalized Stokes-
Einstein relation between injection and dissipation of energy at the microscopic scale. We …

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 …

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 …

Pressure is the mechanical force per unit area that a confined system exerts on its container.
In thermal equilibrium, it depends only on bulk properties—such as density and temperature …

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

These lecture notes are designed to provide a brief introduction into the phenomenology of
active matter and to present some of the analytical tools used to rationalize the emergent …

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 …

It is known that purely repulsive self-propelled colloids can undergo bulk liquid-vapor phase
separation. In experiments and large-scale simulations, however, more complex steady …