Bifurcation of the equilibrium of a current-carrying plasma column

The classical (for the Grad-Shafranov equation) formulation of the equilibrium problem for a cylindrical current-carrying plasma column is shown to admit multiple solutions. The multiple solutions are bifurcational in character and appear due to the nonlinearity of the equilibrium equation. This was...

Full description

Saved in:
Bibliographic Details
Published in:Plasma physics reports 2004-12, Vol.30 (12), p.988-994
Main Authors: Ilgisonis, V. I., Pozdnyakov, Yu. I.
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BIFURCATION
BOUNDARY LAYERS
CYLINDRICAL CONFIGURATION
EQUILIBRIUM
GRAD-SHAFRANOV EQUATION
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PLASMA
PLASMA CONFINEMENT
RADIATION TRANSPORT
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The classical (for the Grad-Shafranov equation) formulation of the equilibrium problem for a cylindrical current-carrying plasma column is shown to admit multiple solutions. The multiple solutions are bifurcational in character and appear due to the nonlinearity of the equilibrium equation. This was demonstrated analytically using a stepped current profile as an example. Bifurcational solutions found for the cylindrical case survive in toroidal geometry too.
ISSN:1063-780X
1562-6938
DOI:10.1134/1.1839952