Geodesic
Numerical simulation by a random particle method of Deuterium-Tritium fusion reactions in a plasma
Fréderique Charles1 ; Cédrick Copol2 ; Stéphane Dellacherie3 ; Jean-Marc Mounsamy2
1 Laboratoire Jacques-Louis Lions, UMR 7598 CNRS & Université Pierre et Marie Curie, Paris VI, France
2 Laboratoire de Mathématiques Informatique et Applications, Université des Antilles et de la Guyane, BP 592 Campus de Fouillole, 97157 Pointe-à-Pitre cédex, France
3 Laboratoire de Modélisation et simulation à l’Échelle Composant, CEA, DEN, DM2S, STMF, F-91191 Gif-sur-Yvette Cedex, France
ESAIM. Proceedings, Tome 38 (2012), pp. 220-240.

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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.
DOI : 10.1051/proc/201238012

Fréderique Charles 1 ; Cédrick Copol 2 ; Stéphane Dellacherie 3 ; Jean-Marc Mounsamy 2

1 Laboratoire Jacques-Louis Lions, UMR 7598 CNRS & Université Pierre et Marie Curie, Paris VI, France
2 Laboratoire de Mathématiques Informatique et Applications, Université des Antilles et de la Guyane, BP 592 Campus de Fouillole, 97157 Pointe-à-Pitre cédex, France
3 Laboratoire de Modélisation et simulation à l’Échelle Composant, CEA, DEN, DM2S, STMF, F-91191 Gif-sur-Yvette Cedex, France 
@article{EP_2012_38_a11,
     author = {Fr\'ederique Charles and C\'edrick Copol and St\'ephane Dellacherie and Jean-Marc Mounsamy},
     title = {Numerical simulation by a random particle method of {Deuterium-Tritium} fusion reactions in a plasma},
     journal = {ESAIM. Proceedings},
     pages = {220--240},
     publisher = {mathdoc},
     volume = {38},
     year = {2012},
     doi = {10.1051/proc/201238012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201238012/}
}
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Fréderique 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, Tome 38 (2012), pp. 220-240. doi : 10.1051/proc/201238012. http://geodesic.mathdoc.fr/articles/10.1051/proc/201238012/

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