Nonlinear collision cascades using a model Boltzmann equation
- 14 November 1984
- journal article
- Published by IOP Publishing in Journal of Physics D: Applied Physics
- Vol. 17 (11) , 2165-2175
- https://doi.org/10.1088/0022-3727/17/11/004
Abstract
A nonlinear formulation of the displacement cascade is described using the Boltzmann equation with a stochastic collision kernel. For the special case of the very hard sphere model the resulting exact solution is used to assess the limitations of the linear theory for calculating sputtered atom spectra and yields. Significant differences are found in the two cases, amounting to factors of 2 in some energy regions. The extension of the method to more realistic kernels is outlined.Keywords
This publication has 7 references indexed in Scilit:
- The Boltzmann equation for very hard particlesPhysica A: Statistical Mechanics and its Applications, 1983
- Energy sharing and sputtering in low-energy collision cascadesRadiation Effects, 1982
- Nonlinear model-Boltzmann equations and exact solutionsPhysics Reports, 1981
- Erratum to: Nonlinear Boltzmann equations and kinetic stochastic equationsLettere al Nuovo Cimento (1971-1985), 1981
- An exactly solvable non-linear Boltzmann equationPhysics Letters A, 1979
- Numerical aspects of the approach to a Maxwellian distributionPhysical Review A, 1979
- The energy spectra of atoms slowing down in structureless mediaPhilosophical Magazine, 1965