The evolution of marginally bound supercluster-like objects in an accelerating Universe, with a cosmological constant ΩΛ,0 = 0.7 and Ωm,0 = 0.3, is followed from the present time to an expansion factor a = 100. The large scale evolution of these objects freezes shortly after the present cosmological epoch, in contrast to the vigorously continuing internal development. Our study follows the external and the internal evolution of these island universes, as they gradually detach themselves from the cosmic background and internally evolve in splendid isolation. We model the bound objects in a large ΛCDM cosmological simulation of 512 3 dark matter particles in a cube of 500h −1 Mpc side length. The objects are identified on the basis of the binding density criterion introduced by Dünner et al. (2006). Superclusters are identified with the ones whose mass M> 10 15 h −1 M⊙. In our simulation we find one supercluster with a mass of M ∼ 8 × 10 15 h −1 M⊙, slightly larger than that of the Shapley supercluster. Even though we find around two Shapley-like superclusters in a volume comparable to that of the Local Universe (z < 0.1), these massive superclusters do contain les
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