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Published February 15, 1989 | public
Journal Article Open

Time-dependent collision cascades

Abstract

We use the linearized Boltzmann equation to discuss the time dependence of atomic collision cascades. The atoms are presumed to interact via a power-law potential, the power being denoted (-2/a). We wish to ascertain whether the equation, and/or certain special solutions, show striking changes in behavior at certain special values of a. We find a value of a which distinguishes energy-conserving cascades from anomalous cascades, and another which signals the failure of the linear approximation. Scaling, and also the emergence of similarity solutions, are discussed.

Additional Information

©1989 The American Physical Society Received 31 August 1988 I am grateful to Dr. Chen, Dr. Nicolet, and Dr. Johnson for telling me about their work before its publication, and to Dr. K.B. Winterbon for sending me a copy of Ref. 2, prior to publication. Conversations and correspondence with Dr. M.M.R. Williams, and with Dr. Winterbon have been most helpful.

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