From cascade to spike a fractal-geometry approach

Y. T. Cheng, M. A. Nicolet, W. L. Johnson

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


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.

Original languageEnglish
Pages (from-to)2083-2086
Number of pages4
JournalPhysical Review Letters
Issue number20
StatePublished - 1987

ASJC Scopus subject areas

  • General Physics and Astronomy


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