Confined dynamics of non-aligning self-propelled particles in the small box limit

Recent years have brought the realization that even the simplest of active particle models can exhibit rich behavior. Here we study the confined dynamics of non-aligning self-propelled particles when the size of the confining box is small compared with the distance traveled by a particle before its orientation decorrelates. Using a combination of analytical and computational tools, we characterize the inhomogeneities of the density for a class of box shapes.