The geometrical structure of the vacancy distribution in collision cascades is studied using Monte Carlo simulations. Based on a Flory--de Gennes-type approach, a relation of the fractal dimension, the self-similarity dimension, and the dimension of the embedding space is established. It is shown that, varying the parameter of the interaction potential, a structural transition takes place in the cascade from an open branching structure to a space-filling one. Based on the results the spike condition of Cheng, Nicolet, and Johnson [Phys. Rev. Lett. 58, 2083 (1987)] is revisited.
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Kun et al. (1997) studied this question.
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