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 …

Active field theories, such as the paradigmatic model known as 'active model B+', are simple
yet very powerful tools for describing phenomena such as motility-induced phase …

We investigate the effect of rotational inertia on the collective phenomena of underdamped
active systems and show that the increase of the moment of inertia of each particle favors …

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 …

In an equilibrium thermal environment, random elastic collisions between background
particles and a tracer establish the picture of Brownian motion fulfilling the celebrated …

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 …

Many self-propelled objects are large enough to exhibit inertial effects but still suffer from
environmental fluctuations. The corresponding basic equations of motion are governed by …

We study the dynamical properties of an active particle subject to a swimming speed
explicitly depending on the particle position. The oscillating spatial profile of the swim …

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 …

In this study, we investigate the behavior of free inertial active Brownian particles in the
presence of thermal noise. While finding a closed-form solution for the joint distribution of …