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Author Abdullaev, S. S. ♦ Zaslavsky, G. M.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PLASMA PHYSICS AND FUSION ♦ MAGNETIC FIELD CONFIGURATIONS ♦ DIVERTORS ♦ MAGNETIC CONFINEMENT ♦ MAGNETIC ISLANDS ♦ MAGNETIC RECONNECTION ♦ PERTURBATION THEORY ♦ STELLARATORS ♦ STOCHASTIC PROCESSES ♦ TOKAMAK DEVICES ♦ CHAOTIC SYSTEMS
Abstract In this paper a generalized separatrix map to study perturbed magnetic field lines in a confined magnetic system with the separatrix is discussed. The separatrix map is an iteration transform for the magnetic flux and a toroidal angle at a certain cross section after one period of the unperturbed trajectory. The map can be derived from magnetic field line equations and can be shifted along the toroidal angle, depending on the point of interest. Different asymptotic forms of the shifted separatrix map, with respect to the distance between the cross section of the toroidal angle and the X point, are considered, and their invariant properties are discussed in regard to the renormalization transformation of the perturbation amplitude. A method to find the map{close_quote}s parameters for any specific magnetic system is proposed. It is shown that the shifted separatrix map can be directly applied to obtain magnetic footprints at the divertor plates, and to study chaotic scattering of field lines. {copyright} {ital 1996 American Institute of Physics.}
ISSN 1070664X
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-02-01
Publisher Place United States
Journal Physics of Plasmas
Volume Number 3
Issue Number 2


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