Abstract
We consider the evolution of a cascade of atomic collisions in a solid consisting of identical atoms. The solution to the Boltzmann kinetic equation describing a nonstationary spatial energy distribution of slowing down atoms is obtained considering their multiplication. We assume that the scattering of atoms is elastic and spherically symmetric in the center-of-mass system and that the scattering cross section is constant. Some particular cases of this solution coincide with the results obtained earlier.
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