Nonstationary Energy Distribution of a Cascade of Knock-Out Atoms in a Solid with Allowance for their Bond Energy

Based on the solution of Boltzmann kinetic equation, an approximate expression is obtained for the distribution function describing a nonstationary energy distribution of a cascade of moving atoms. The development of the cascade is considered in materials consisting of identical atoms with allowance...

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Bibliographic Details
Published in:Physics of metals and metallography 2021-04, Vol.122 (4), p.416-421
Main Authors: Metelkin, E. V., Lebedeva, M. V.
Format: Article
Language:English
Subjects:
Analysis
Atomic properties
Bond energy
Chemical bonds
Chemistry and Materials Science
Distribution (Probability theory)
Distribution functions
Elastic scattering
Energy distribution
Exact solutions
Kinetic equations
Materials Science
Metallic Materials
Strength and Plasticity
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Summary:Based on the solution of Boltzmann kinetic equation, an approximate expression is obtained for the distribution function describing a nonstationary energy distribution of a cascade of moving atoms. The development of the cascade is considered in materials consisting of identical atoms with allowance for the bond energy of atoms in the lattice (ε d ). It is assumed that the scattering of moving atoms is elastic and spherically symmetric in the center-of-mass system and the interaction cross section is inversely proportional to the velocity. The effect of the bond energy of atoms on the distribution function and related quantities is analyzed based on the obtained solution. In the limiting case of ε d = 0, the approximate solution is in good agreement with the exact solution of the corresponding problem.
ISSN:0031-918X
1555-6190
DOI:10.1134/S0031918X21040074