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

Frédérique Charles (1, 2) , Cédrick Copol (3) , Stéphane Dellacherie (4) , Jean-Marc Mounsamy (3)

1 LJLL - Laboratoire Jacques-Louis Lions
2 SU - Sorbonne Université
3 LAMIA - Laboratoire de Mathématiques Informatique et Applications
4 CEA-DES (ex-DEN) - CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire)

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.

Domaines: Equations aux dérivées partielles [math.AP]

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, 2013. ⟨hal-00689821⟩