0 0.2 0.4 0.6 0.8 1 i/L 0.48 0.5 0.52 0.54 0.56 0.58 0.6 (i) L = 100 L = 200 L = 500 FIG. 5: Density p rofiles for α = 0 . 7 and β = 0 . 6, for systems of 100, 200, an d 500 wells. FIG. 6: Bulk density versus α for β = 0 . 4, system sizes L = 100, 200 and 500. The bulk density as a function of α , for β = 0 . 4, is shown in Fig. 6 for the three sys- tem sizes studied. These results strongly suggest the development of a discontinuity in ρ ( α ) near α = 0 . 47 as the system size is increased. 13 0.3 0.4 0.5 0.6 0.7 0.3 0.4 0.5 0.6 0.7 L = 100 L = 200 L = 500