On the confinement of a tokamak plasma - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2009

On the confinement of a tokamak plasma

Résumé

The goal of this paper is to understand from a mathematical viewpoint the magnetic confinement of plasmas for fusion. Following Frénod and Sonnendrücker \cite{FS2}, we first use $2$-scale convergence tools to derive a gyrokinetic system for a plasma submitted to a large magnetic field with a slowly spatially varying intensity. We finally investigate the behaviour of the plasma in such a regime and we prove non-linear stability or instability depending on which side of the tokamak we are looking at. In our analysis we will also show that there exists a temperature gradient threshold beyond which one can expect stability, even in the ``bad'' side : this is the so-called H-mode.
Fichier principal
Vignette du fichier
confinement.pdf (272.84 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00425375 , version 1 (21-10-2009)
hal-00425375 , version 2 (22-10-2009)
hal-00425375 , version 3 (19-07-2010)

Identifiants

Citer

Daniel Han-Kwan. On the confinement of a tokamak plasma. 2009. ⟨hal-00425375v2⟩
506 Consultations
157 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More