Abstract

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.

中文翻译：

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考虑到键能的固体中敲除原子级联的非平稳能量分布

摘要

基于Boltzmann动力学方程的解，得到了描述运动原子级联非平稳能量分布的分布函数的近似表达式。在由相同原子组成的材料中考虑级联的发展，并考虑晶格中原子的键能 (ε _d )。假设运动原子的散射在质心系统中是弹性的和球对称的，并且相互作用截面与速度成反比。根据得到的解，分析原子键能对分布函数及相关量的影响。在 ε _d的极限情况下 = 0，近似解与相应问题的精确解吻合良好。