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research article

Dielectric Tensor Operator of Hot Plasmas in Toroidal Axisymmetrical Systems

Brunner, S.  
•
Vaclavik, J.  
1993
Physics of Fluids B-Plasma Physics

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(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(e) and epsilon(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(e) and the second order in epsilon(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.

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Type
research article
DOI
10.1063/1.860804
Web of Science ID

WOS:A1993LF95300003

Author(s)
Brunner, S.  
Vaclavik, J.  
Date Issued

1993

Published in
Physics of Fluids B-Plasma Physics
Volume

5

Issue

6

Start page

1695

End page

1705

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CRPP  
SPC  
Available on Infoscience
April 16, 2008
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/21245
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