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

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 …

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 …

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 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 …

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 …

Active filamentlike systems propelling along their backbone exist across scales ranging from
motor-driven biofilaments to worms and robotic chains. In macroscopic active filaments such …

Overdamped active Brownian motion of self-propelled particles in a liquid has been fairly
well studied. However, there are a variety of situations in which the overdamped …

Langevin equations or generalized Langevin equations (GLEs) are popular models for
describing the motion of a particle in a fluid medium in an effective manner. Here we …

By now active Brownian motion is a well-established model to describe the motion of
mesoscopic self-propelled particles in a Newtonian fluid. On the basis of the generalized …