Abstract
A variational formalism that includes in a consistent way the tokamak plasma fluid response to an electromagnetic field as well as the particle-field resonant interaction effects is presented. The integrability of the unperturbed motion of the particles is used to establish a general functional similar to the classical Lagrangian for the electromagnetic field, which is extremum with respect to the field potentials. This functional is the sum of fluid terms closely related to the classical MHD energy and of resonant terms describing the kinetic effects. The formalism is used to study a critical issue in tokamak confinement, namely the sawteeth stabilization by energetic particles.
Citation Formats
Edery, D, Garbet, X, Roubin, J P, and Samain, A.
Variational formalism for kinetic-MHD instabilities in tokamaks.
France: N. p.,
1991.
Web.
Edery, D, Garbet, X, Roubin, J P, & Samain, A.
Variational formalism for kinetic-MHD instabilities in tokamaks.
France.
Edery, D, Garbet, X, Roubin, J P, and Samain, A.
1991.
"Variational formalism for kinetic-MHD instabilities in tokamaks."
France.
@misc{etde_10152482,
title = {Variational formalism for kinetic-MHD instabilities in tokamaks}
author = {Edery, D, Garbet, X, Roubin, J P, and Samain, A}
abstractNote = {A variational formalism that includes in a consistent way the tokamak plasma fluid response to an electromagnetic field as well as the particle-field resonant interaction effects is presented. The integrability of the unperturbed motion of the particles is used to establish a general functional similar to the classical Lagrangian for the electromagnetic field, which is extremum with respect to the field potentials. This functional is the sum of fluid terms closely related to the classical MHD energy and of resonant terms describing the kinetic effects. The formalism is used to study a critical issue in tokamak confinement, namely the sawteeth stabilization by energetic particles.}
place = {France}
year = {1991}
month = {Jul}
}
title = {Variational formalism for kinetic-MHD instabilities in tokamaks}
author = {Edery, D, Garbet, X, Roubin, J P, and Samain, A}
abstractNote = {A variational formalism that includes in a consistent way the tokamak plasma fluid response to an electromagnetic field as well as the particle-field resonant interaction effects is presented. The integrability of the unperturbed motion of the particles is used to establish a general functional similar to the classical Lagrangian for the electromagnetic field, which is extremum with respect to the field potentials. This functional is the sum of fluid terms closely related to the classical MHD energy and of resonant terms describing the kinetic effects. The formalism is used to study a critical issue in tokamak confinement, namely the sawteeth stabilization by energetic particles.}
place = {France}
year = {1991}
month = {Jul}
}