Statistics of conserved quantities in mechanically stable packings of frictionless disks above jamming

We numerically simulate mechanically stable packings of soft-core, frictionless, bidisperse disks in two dimensions, above the jamming packing fraction ϕ(J). For configurations with a fixed isotropic global stress tensor, we compute the averages, variances, and correlations of conserved quantities (stress Γ(C), force-tile area A(C), Voronoi volume V(C), number of particles N(C), and number of small particles N(sC)) on compact subclusters of particles C, as a function of the cluster size and the global system stress. We find several significant differences depending on whether the cluster C is defined by a fixed radius R or a fixed number of particles M. We comment on the implications of our findings for maximum entropy models of jammed packings.