%0 Journal Article
%T Numerical simulation by a random particle method of Deuterium-Tritium fusion reactions in a plasma*
%A Charles Fr¨¦derique
%A Copol C¨¦drick
%A Dellacherie St¨¦phane
%A Mounsamy Jean-Marc
%J ESAIM : Proceedings
%D 2013
%I EDP Sciences
%R 10.1051/proc/201238012
%X 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 ¦Á 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. On propose et on justifie un algorithme de type Monte-Carlo permettant de r¨¦soudre un mod¨¨le cin¨¦tique homog¨¨ne en espace de type Boltzmann mod¨¦lisant la r¨¦action de fusion entre un ion deut¨¦rium et un ion tritium, et donnant une particule ¦Á et un neutron. L¡¯algorithme propos¨¦ est par ailleurs valid¨¦ via des solutions explicites du mod¨¨le cin¨¦tique obtenues en rempla ant la section efficace de fusion par une section efficace maxwellienne.
%U dx.doi.org/10.1051/proc/201238012