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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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.
| Item Type: | Article |
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| 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. |
| Record Number: | CaltechAUTHORS:CORpra89 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:CORpra89 |
| Alternative URL: | http://dx.doi.org/10.1103/PhysRevA.39.2126 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 6542 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 12 Dec 2006 |
| Last Modified: | 26 Dec 2012 09:22 |
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