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Reduced multi-scale kinetic models for the relativistic electron transport in solid targets: Effects related to secondary electrons

Published online by Cambridge University Press:  14 April 2010

R. Duclous ,
J.-P. Morreeuw ,
V.T. Tikhonchuk  and
B. Dubroca
R. Duclous*
Affiliation:
Centre Lasers Intenses et Applications, Université Bordeaux 1 - CEA - CNRS, Talence Cedex, France
J.-P. Morreeuw
Affiliation:
CEA-CESTA, Le Barp, France
V.T. Tikhonchuk
Affiliation:
Centre Lasers Intenses et Applications, Université Bordeaux 1 - CEA - CNRS, Talence Cedex, France
B. Dubroca
Affiliation:
Centre Lasers Intenses et Applications, Université Bordeaux 1 - CEA - CNRS, Talence Cedex, France
*
Address correspondence and reprint requests to: R. Duclous, Centre Lasers Intenses et Applications, Université Bordeaux 1 - CEA - CNRS, 33405 Talence Cedex, France. E-mail: [email protected]
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Abstract

A reduced mathematical model for the transport of high current relativistic electron beams in a dense collisional plasma is developed. Based on the hypothesis that the density of relativistic electrons is much less than the plasma density and their energy is much higher than the plasma temperature, a model with two energy scales is proposed, where the beam and plasma electrons are considered as two coupled sub-systems, which exchange the energy and particles due to collisions. The process of energy exchange is described in the Fokker-Planck approximation, where the pitch angle electron-ion and electron-electron collisions dominate. The process of particle exchange between populations, leading to the production of secondary energetic electrons, is described with a Boltzmann term. The electron-electron collisions with small impact parameters make an important contribution in the overall dynamics of the beam electrons.

Keywords

Collision invariant preservingElectron-electron collisionsMulti-scale scatteringReduced modelRelativistic electron transportSecondary electron production
Type
Research Article
Information
Laser and Particle Beams , Volume 28 , Issue 1 , March 2010 , pp. 165 - 177
Copyright
Copyright © Cambridge University Press 2010

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