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

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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Frédérique Charles, Cédrick Copol, Stéphane Dellacherie, Jean-Marc Mounsamy. Numerical simulation by a random particle method of Deuterium-Tritium fusion reactions in a plasma.. ESAIM: Proceedings, EDP Sciences, 2013. ⟨hal-00689821⟩

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