Numerical simulation by a random particle method of Deuterium-Tritium fusion reactions in a plasma*

Publisher： Edp Sciences

E-ISSN： 1270-900x|38|issue|220-240

ISSN： 1270-900x

Source： ESAIM: Proceedings, Vol.38, Iss.issue, 2013-01, pp. : 220-240

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Abstract

We propose and we justify a Monte-Carlo algorithm which solves a spatially homogeneous kinetic equation of Boltzmann type that models the fusion reaction between a deuterium ion and a tritium ion, and giving an α particle and a neutron. The proposed algorithm is validated with the use of explicit solutions of the kinetic model obtained by replacing the fusion cross-section by a Maxwellian cross section.

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