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Dielectric tensor operator of hot plasmas in toroidal axisymmetric systems

Technical Report:

Abstract

Kinetic theory is used to develop equations describing dynamics of small-amplitude electromagnetic perturbations in toroidal axisymmetric plasmas. The closed Vlasov-Maxwell equations are first solved for a hot stationary plasma using the expansion in the small parameter {epsilon}{sub e}={rho}/L, where {rho} is the Larmor radius and L a characteristic length scale of the stationary state. The ordering and additional assumptions are specified so as to obtain the well-known Grad-Shafranov equation. The dielectric tensor of such a plasma is then derived. The Vlasov equation for the perturbed distribution function is solved by the expansion in the small parameters {epsilon}{sub e} and {epsilon}{sub p}={rho}/{lambda}, where {lambda} is a characteristic wavelength of the perturbing electromagnetic field. The solution is obtained up to the first order in {epsilon}{sub e} and the second order in {epsilon}{sub p}. By integrating the resulting distribution function over velocity space, an explicit expression for the tensor is derived in the form of a two-dimensional partial differential operator. The operator is shown to possess the proper symmetry corresponding to the energy conservation law. (author) 6 refs.
Authors:
Brunner, S; Vaclavik, J [1] 
  1. Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
Publication Date:
Aug 01, 1992
Product Type:
Technical Report
Report Number:
LRP-460/92
Reference Number:
SCA: 700330; PA: AIX-24:009298; SN: 93000933691
Resource Relation:
Other Information: PBD: Aug 1992
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DIELECTRIC TENSOR; MATHEMATICAL OPERATORS; HOT PLASMA; AMPLITUDES; AXIAL SYMMETRY; BOLTZMANN-VLASOV EQUATION; DISTRIBUTION FUNCTIONS; DISTURBANCES; DYNAMICS; ELECTROMAGNETIC FIELDS; GRAD-SHAFRANOV EQUATION; KINETIC EQUATIONS; LARMOR RADIUS; TOROIDAL CONFIGURATION; WAVELENGTHS; 700330; PLASMA KINETICS, TRANSPORT, AND IMPURITIES
OSTI ID:
10119875
Research Organizations:
Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
Country of Origin:
Switzerland
Language:
English
Other Identifying Numbers:
Other: ON: DE93613688; TRN: CH9200604009298
Availability:
OSTI; NTIS; INIS
Submitting Site:
CHN
Size:
[23] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Brunner, S, and Vaclavik, J. Dielectric tensor operator of hot plasmas in toroidal axisymmetric systems. Switzerland: N. p., 1992. Web.
Brunner, S, & Vaclavik, J. Dielectric tensor operator of hot plasmas in toroidal axisymmetric systems. Switzerland.
Brunner, S, and Vaclavik, J. 1992. "Dielectric tensor operator of hot plasmas in toroidal axisymmetric systems." Switzerland.
@misc{etde_10119875,
title = {Dielectric tensor operator of hot plasmas in toroidal axisymmetric systems}
author = {Brunner, S, and Vaclavik, J}
abstractNote = {Kinetic theory is used to develop equations describing dynamics of small-amplitude electromagnetic perturbations in toroidal axisymmetric plasmas. The closed Vlasov-Maxwell equations are first solved for a hot stationary plasma using the expansion in the small parameter {epsilon}{sub e}={rho}/L, where {rho} is the Larmor radius and L a characteristic length scale of the stationary state. The ordering and additional assumptions are specified so as to obtain the well-known Grad-Shafranov equation. The dielectric tensor of such a plasma is then derived. The Vlasov equation for the perturbed distribution function is solved by the expansion in the small parameters {epsilon}{sub e} and {epsilon}{sub p}={rho}/{lambda}, where {lambda} is a characteristic wavelength of the perturbing electromagnetic field. The solution is obtained up to the first order in {epsilon}{sub e} and the second order in {epsilon}{sub p}. By integrating the resulting distribution function over velocity space, an explicit expression for the tensor is derived in the form of a two-dimensional partial differential operator. The operator is shown to possess the proper symmetry corresponding to the energy conservation law. (author) 6 refs.}
place = {Switzerland}
year = {1992}
month = {Aug}
}