Active colloids are self-propelled particles moving in viscous fluids by consuming fuel from
their surroundings. Here, we review the numerical and theoretical modeling of active …

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 …

Emergent behavior in collectives of “robotic” units with limited capabilities that is robust and
programmable is a promising route to perform tasks on the micro and nanoscale that are …

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 …

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 …

Artificial active matters on a macroscopic scale, including vibrating particles, robots, and
camphor boats, have attracted increasing attentions due to their uniform properties, rich and …