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Electrostatic stability of plasmas of finite length. General theory; Stabilite electrostatique des plasmas de longueur finie. Theorie generale

Abstract

With the simple model of a plane geometry, taking into account the finite extension of the plasma along the magnetic field and the existence of a cold plasma between the hot plasma and exterior conducting plates, as well as the reflection of the particles at the mirrors, the curvature of the field lines and the density gradient, the equation for electrostatic perturbations, supposing {beta} << 1, is given with the most general particle equilibrium state. This equation is solved. It contains new terms related to the mirror effect, having poles for all the linear combination with integer numbers of the various frequencies of the system for each species of particles. It does no longer admit as previously a 'free wave' solution. Furthermore, we give the general dispersion relation, applying the boundary conditions, from which the electrostatic stability of the system can be studied. This will be done elsewhere, but some properties of open systems are indebted. (author) [French] Dans le modele le plus simple d'une geometrie plane, en tenant compte de la dimension finie le long du champ magnetique du plasma et d'un plasma froid entre celui-ci et des plaques conductrices exterieures, ainsi que de la reflexion des particules aux  More>>
Authors:
Cotsaftis, M [1] 
  1. Commissariat a l'Energie Atomique, Fontenay-aux-Roses (France). Centre d'Etudes Nucleaires
Publication Date:
Feb 15, 1967
Product Type:
Technical Report
Report Number:
CEA-R-3156
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BETA RATIO; BOUNDARY CONDITIONS; HOT PLASMA; MAGNETIC FIELDS; PLASMA DENSITY; STABILITY
OSTI ID:
20818086
Research Organizations:
Commissariat a l'Energie Atomique, Fontenay-aux-Roses (France). Centre d'Etudes Nucleaires, Groupe de recherches de l'association EURATOM-CEA sur la fusion controlee
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR05R3156118215
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
31 pages
Announcement Date:
Dec 30, 2006

Citation Formats

Cotsaftis, M. Electrostatic stability of plasmas of finite length. General theory; Stabilite electrostatique des plasmas de longueur finie. Theorie generale. France: N. p., 1967. Web.
Cotsaftis, M. Electrostatic stability of plasmas of finite length. General theory; Stabilite electrostatique des plasmas de longueur finie. Theorie generale. France.
Cotsaftis, M. 1967. "Electrostatic stability of plasmas of finite length. General theory; Stabilite electrostatique des plasmas de longueur finie. Theorie generale." France.
@misc{etde_20818086,
title = {Electrostatic stability of plasmas of finite length. General theory; Stabilite electrostatique des plasmas de longueur finie. Theorie generale}
author = {Cotsaftis, M}
abstractNote = {With the simple model of a plane geometry, taking into account the finite extension of the plasma along the magnetic field and the existence of a cold plasma between the hot plasma and exterior conducting plates, as well as the reflection of the particles at the mirrors, the curvature of the field lines and the density gradient, the equation for electrostatic perturbations, supposing {beta} << 1, is given with the most general particle equilibrium state. This equation is solved. It contains new terms related to the mirror effect, having poles for all the linear combination with integer numbers of the various frequencies of the system for each species of particles. It does no longer admit as previously a 'free wave' solution. Furthermore, we give the general dispersion relation, applying the boundary conditions, from which the electrostatic stability of the system can be studied. This will be done elsewhere, but some properties of open systems are indebted. (author) [French] Dans le modele le plus simple d'une geometrie plane, en tenant compte de la dimension finie le long du champ magnetique du plasma et d'un plasma froid entre celui-ci et des plaques conductrices exterieures, ainsi que de la reflexion des particules aux miroirs, de la courbure des lignes de.force et du gradient de densite, on etablit avec un etat d'equilibre le plus general l'equation des perturbations electrostatiques du systeme, en supposant {beta} << 1. On resoud cette equation, qui contient des termes nouveaux dus a l'effet miroir presentant des poles pour toutes les combinaisons lineaires en nombres entiers des diverses pulsations du systeme pour chaque espece de particules, montrant qu'elle ne peut plus admettre comme precedemment une solution en 'onde libre', puis nous etablissons la relation de dispersion generale par application des conditions aux limites permettant d'etudier la stabilite electrostatique du systeme. Celle-ci sera faite ailleurs mais on indique quelques proprietes des systemes ouverts. (auteur)}
place = {France}
year = {1967}
month = {Feb}
}