Separation of interacting active particles in an asymmetric channel

We study the diffusive behavior of interacting active particles (self-propelled) with mass $m$ in an asymmetric channel. The particles are subjected to an external oscillatory force along the length of the channel. In this setup, particles may exhibit rectification. In the absence of interaction, the mean velocity $\ensuremath{\langle}v\ensuremath{\rangle}$ of the particles shows a maximum at moderate $m$ values. It means that particles of moderate $m$ have higher velocities than the others. However, by incorporating short-range interaction between the particles, $\ensuremath{\langle}v\ensuremath{\rangle}$ exhibits an additional peak at lower $m$ values, indicating that particles of lower and moderate $m$ can be separated simultaneously from the rest. Furthermore, by tuning the interaction strength, the self-propelled velocity, and the parameters of the oscillatory force, one can selectively separate the particles of lower $m$, moderate $m$, or both. Empirical relations for estimating the optimal mass as a function of these parameters are proposed. These findings are beneficial for separating the particles of selective $m$ from the rest of the particles.