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 …

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 …

For preventing the spread of epidemics such as the coronavirus disease COVID-19, social
distancing and the isolation of infected persons are crucial. However, existing reaction …

We propose a new overarching model for self-propelled particles that flexibly generates a
full family of “descendants.” The general dynamics introduced in this paper, which we …

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 …

Inertial effects affecting both the translational and rotational dynamics are inherent to a
broad range of active systems at the macroscopic scale. Thus, there is a pivotal need for …

We investigate motility-induced phase separation of active Brownian particles, which are
modeled as purely repulsive spheres that move due to a constant swim force with freely …

We study the dynamics of one-dimensional active particles confined in a double-well
potential, focusing on the escape properties of the system, such as the mean escape time …

The escape rate of a Brownian particle over a potential barrier is accurately described by the
Kramers theory. A quantitative theory explicitly taking the activity of Brownian particles into …