Isostatic jamming of two-dimensional monodisperse system under quenched disorder

The existence of amorphous packings in two-dimensional monodisperse system is a classical unsolved problem. By minimizing the enthalpy of packings of frictionless particles, we obtain isostatic jammed packings under quenched disorder at desired pressures. Quenched disorder is introduced by pinning a fraction of particles N_f=n_fN. The result shows that there is a unique critical pinning density, n_fc, at which packings become completely disorder. The static correlation length ξ₆ diverges at the same n_fc for different pressure p, which suggests new ways to investigate the jamming transition in two-dimensional monodisperse system. Finally, we confirm the existence of isostatic jammed packings with packing fraction Φ_J∞=0.845, and jamming scaling is still satisfied in two-dimensional monodisperse system.