Effects of Collisional Decoherence on Multipartite Entanglement - How would entanglement not be relatively common?

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We consider the collision model of Ziman et al. and study the robustness of N-qubit Greenberger-Horne-Zeilinger (GHZ), W, and linear cluster states. Our results show that N-qubit entanglement of GHZ states would be extremely fragile under collisional decoherence, and that of W states could be more robust than of linear cluster states. We indicate that the collision model of Ziman et al. could provide a physical mechanism to some known results in this area of investigations. More importantly, we show that it could give a clue as to how N-partite distillable entanglement would be relatively rare in our macroscopic classical world.