Published December 2004 | Version v1
Journal article Metadata-only

Bifurcation of the Equilibrium of a Current-Carrying Plasma Column

Creators

  • 1. Nuclear Fusion Institute, Russian Research Centre Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182 (Russian Federation)

Description

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

Additional details

Identifiers

DOI
10.1134/1.1839952;

Publishing Information

Journal Title
Plasma Physics Reports
Journal Volume
30
Journal Issue
12
Journal Page Range
p. 988-994
ISSN
1063-780X
CODEN
PPHREM

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37029744
Subject category
S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
Resource subtype / Literary indicator
Translation
Descriptors DEI
BIFURCATION; BOUNDARY LAYERS; CYLINDRICAL CONFIGURATION; EQUILIBRIUM; GRAD-SHAFRANOV EQUATION; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PLASMA; PLASMA CONFINEMENT; RADIATION TRANSPORT
Descriptors DEC
CONFIGURATION; CONFINEMENT; DIFFERENTIAL EQUATIONS; EQUATIONS; LAYERS; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Notes
Translated from Fizika Plazmy, ISSN 0367-2921, 30, 1064-1070 (No. 12, 2004); (c) 2004 MAIK ''Nauka / Interperiodica''.