Three-dimensional motion of noninteractive active matter with inertia

It is well known that inertia in active matter at macroscopic scales cannot be neglected. Up to now, theoretical work in this regard has been reported only in two dimensions. Here, we extend previous models and consider a three-dimensional ABPs system of noninteracting spherical active particles with both translational and rotational inertia. Several important physical quantities from the system (effective diffusion, swim and Reynolds pressure, mean-square speed) are theoretically obtained and numerically validated.