Inertial effects on trapped active matter

So far, the effect of translational and rotational inertia in the field of active matter has been almost neglected. Here, we analytically find the effect of inertia on the mean-square displacement and mean-square speed of a system of inertial active Brownian particles subject to a weak and a strong harmonic trap. To validate our analytical results, Brownian dynamics simulations are also performed showing an excellent agreement between our theoretical predictions and the numerical results.