Analytical Theory of Energy Relaxation Upon Propagation of a High-Energy Electron Beam in Gas

Analytical Theory of Energy Relaxation Upon Propagation of a High-Energy Electron Beam in Gas This study is devoted to the development of an analytical theory for calculating the spatial distribution of the energy release upon propagation of a high-energy (1–100 keV) electron beam in a gas (based on the example of air). Based on the analysis of data on the cross sections of elastic and inelastic interactions between electrons and molecules of gases that are in the air composition, it was suggested that inelastic interaction causes energy relaxation, whereas elastic interaction leads to momentum relaxation. The model cross section of inelastic collisions of electrons with molecules is used for solving the Boltzmann kinetic equation for electrons; this cross section provides adequate description of the experimentally found energy dependence of the mass stopping power of electrons. The results for the dependence of the mean electron energy on the number of inelastic collisions are in good agreement with the results of calculation based on expansion of the distribution function in the number of collisions and solution by the Monte Carlo method. The calculations we performed show that the consideration of elastic collisions increases the spatial density of the energy release due to narrowing of the region where the main part of the energy of fast electrons is released, in comparison with calculations where only inelastic deceleration is taken into account. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png High Temperature Springer Journals

Analytical Theory of Energy Relaxation Upon Propagation of a High-Energy Electron Beam in Gas

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Publisher
Pleiades Publishing
Copyright
Copyright © 2018 by Pleiades Publishing, Ltd.
Subject
Physics; Atoms and Molecules in Strong Fields, Laser Matter Interaction; Materials Science, general; Classical and Continuum Physics; Physical Chemistry; Industrial Chemistry/Chemical Engineering
ISSN
0018-151X
eISSN
1608-3156
D.O.I.
10.1134/S0018151X18010182
Publisher site
See Article on Publisher Site

Abstract

This study is devoted to the development of an analytical theory for calculating the spatial distribution of the energy release upon propagation of a high-energy (1–100 keV) electron beam in a gas (based on the example of air). Based on the analysis of data on the cross sections of elastic and inelastic interactions between electrons and molecules of gases that are in the air composition, it was suggested that inelastic interaction causes energy relaxation, whereas elastic interaction leads to momentum relaxation. The model cross section of inelastic collisions of electrons with molecules is used for solving the Boltzmann kinetic equation for electrons; this cross section provides adequate description of the experimentally found energy dependence of the mass stopping power of electrons. The results for the dependence of the mean electron energy on the number of inelastic collisions are in good agreement with the results of calculation based on expansion of the distribution function in the number of collisions and solution by the Monte Carlo method. The calculations we performed show that the consideration of elastic collisions increases the spatial density of the energy release due to narrowing of the region where the main part of the energy of fast electrons is released, in comparison with calculations where only inelastic deceleration is taken into account.

Journal

High TemperatureSpringer Journals

Published: Mar 14, 2018

References

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