Hyperuniformity of generalized random organization models

Studies of random organization models of monodisperse spherical particles have shown that a hyperuniform state is achievable when the system goes through an absorbing phase transition. Here we investigate to what extent hyperuniformity is preserved when the model is generalized to particles with a size distribution and/or nonspherical shapes. We examine binary disks, disks with a size distribution and hard rectangles of various aspect ratios. We show that the systems are hyperuniform as two-phase media at their respective critical points. This analysis reveals that the redistribution of ``mass" of the particles rather than the particle centroids is central to this dynamical process. Our results suggest that general particle systems subject to random organization can be a robust way to fabricate a wide class of hyperuniform states of matter by tuning the structures via different particle-size and -shape distributions. This in turn enables the creation of multifunctional hyperuniform materials with desirable optical, transport and mechanical properties.