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Title: Toroidal field effects on dipole equilibrium and stability at finite plasma pressure

Abstract

The influence of a toroidal magnetic field on the equilibrium and stability of a plasma confined by the magnetic field of a point dipole is considered, since it may be necessary to introduce a toroidal magnetic field to smooth electron heating or other asymmetries in the toroidal direction that can lead to toroidal electric fields and a loss of confinement due to radial ExB drift. To begin, a toriodal magnetic field is shown to restore confinement by reducing electron heating departures from axisymmetry. Then the Grad-Shafranov equation for a point dipole in the presence of a toroidal field is solved to explicitly demonstrate that an equilibrium exists. Finally, it is shown that a toroidal magnetic field destabilizes the otherwise stable point dipole ballooning modes at high plasma pressure. Consequently, if a toroidal magnetic field is necessary to remove toroidal heating asymmetries in a dipole equilibrium, the heating may have to be performed transiently or at lower plasma pressures. (c) 2000 American Institute of Physics.

Authors:
 [1];  [1]
  1. Plasma Science and Fusion Center, Massachusetts Institute of Technology, 167 Albany Street, NW16, Cambridge, Massachusetts 02139 (United States)
Publication Date:
OSTI Identifier:
20216034
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 7; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA INSTABILITY; TOROIDAL CONFIGURATION; PLASMA PRESSURE; PLASMA HEATING; MAGNETOHYDRODYNAMICS; THEORETICAL DATA

Citation Formats

Catto, Peter J., and Krasheninnikov, S. I. Toroidal field effects on dipole equilibrium and stability at finite plasma pressure. United States: N. p., 2000. Web. doi:10.1063/1.873964.
Catto, Peter J., & Krasheninnikov, S. I. Toroidal field effects on dipole equilibrium and stability at finite plasma pressure. United States. doi:10.1063/1.873964.
Catto, Peter J., and Krasheninnikov, S. I. Mon . "Toroidal field effects on dipole equilibrium and stability at finite plasma pressure". United States. doi:10.1063/1.873964.
@article{osti_20216034,
title = {Toroidal field effects on dipole equilibrium and stability at finite plasma pressure},
author = {Catto, Peter J. and Krasheninnikov, S. I.},
abstractNote = {The influence of a toroidal magnetic field on the equilibrium and stability of a plasma confined by the magnetic field of a point dipole is considered, since it may be necessary to introduce a toroidal magnetic field to smooth electron heating or other asymmetries in the toroidal direction that can lead to toroidal electric fields and a loss of confinement due to radial ExB drift. To begin, a toriodal magnetic field is shown to restore confinement by reducing electron heating departures from axisymmetry. Then the Grad-Shafranov equation for a point dipole in the presence of a toroidal field is solved to explicitly demonstrate that an equilibrium exists. Finally, it is shown that a toroidal magnetic field destabilizes the otherwise stable point dipole ballooning modes at high plasma pressure. Consequently, if a toroidal magnetic field is necessary to remove toroidal heating asymmetries in a dipole equilibrium, the heating may have to be performed transiently or at lower plasma pressures. (c) 2000 American Institute of Physics.},
doi = {10.1063/1.873964},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 5,
volume = 7,
place = {United States},
year = {2000},
month = {5}
}