Corngold, N. R. (1989) Time-dependent collision cascades. Physical Review A, 39 (4). pp. 2126-2132. ISSN 0556-2791. http://resolver.caltech.edu/CaltechAUTHORS:CORpra89
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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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|Deposited On:||12 Dec 2006|
|Last Modified:||26 Dec 2012 09:22|
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