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

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 …

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 …

We consider a Brownian particle which, in addition to being in contact with a thermal bath, is
driven by fluctuating forces which stem from active processes in the system, such as self …

We collect recent results on deriving useful response relations also for non-equilibrium
systems. The approach is based on dynamical ensembles, determined by an action on …

We study how inertia affects the behavior of self-propelled particles moving through a
viscous solvent by employing the underdamped version of the active Ornstein–Uhlenbeck …

Self-propelled particles, which convert energy into mechanical motion, exhibit inertia if they
have a macroscopic size or move inside a gaseous medium, in contrast to micron-sized …

By employing a path integral formulation, we obtain the entropy production rate for a system
of active Ornstein–Uhlenbeck particles (AOUP) both in the presence and in the absence of …

We consider the effect of geometric confinement on the steady-state properties of a one-
dimensional active suspension subject to thermal noise. The random active force is modeled …

Recently, it has been discovered that systems of active Brownian particles (APB) at high
density organise their velocities into coherent domains showing large spatial structures in …