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Published May 18, 1987 | Published
Journal Article Open

From cascade to spike — a fractal-geometry approach


The fractal nature of collisional cascades in solids is investigated by means of a model of "idealized" collisional cascade and the Winterbon-Sigmund-Sanders theory of atomic collisions. It is shown that the fractal dimensionality increases as the cascade evolves because of the change of the effective interaction potential. The condition of a spike is shown to arise naturally from the concept of "space-filling" fractals. The characteristic kinetic energy per particle in a spike is estimated to be on the order of a few electronvolts.

Additional Information

©1987 The American Physical Society. Received 10 November 1986. The authors would like to thank Professor N. R. Corngold of California Institute of Technology, Professor T. Egami of the University of Pennsylvania, and Dr. M. Van Rossum of Interuniversitair Micro-Elektronica Centrum (Belgium) for helpful discussions. This work was supported by the U. S. National Science Foundation Grant No. DMR-84-21119.

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