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Title: On the bootstrap current in stellarators and tokamaks

Abstract

The expression for the long-mean-free-path limit of the bootstrap current in stellarators is rederived in such a way that the expansion procedure is identical to that used in the corresponding calculation for a tokamak. In addition, the first correction due to finite collisionality is calculated and shown to vanish in quasi-isodynamic configurations without net current. This correction, which is proportional to the square root of the collisionality, is found to compare well with a numerical solution of the first-order drift kinetic equation in spherical tokamak geometry. Numerically, it appears that there is a similar correction in general stellarator geometry, which however depends on the strength of the radial electric field.

Authors:
; ;
Publication Date:
OSTI Identifier:
22043498
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 18; Journal Issue: 9; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOOTSTRAP CURRENT; CONFINEMENT; CORRECTIONS; ELECTRIC FIELDS; EXPANSION; KINETIC EQUATIONS; MEAN FREE PATH; PLASMA; SPHERICAL CONFIGURATION; STELLARATORS; TOKAMAK DEVICES

Citation Formats

Helander, P., Geiger, J., and Maassberg, H. On the bootstrap current in stellarators and tokamaks. United States: N. p., 2011. Web. doi:10.1063/1.3633940.
Helander, P., Geiger, J., & Maassberg, H. On the bootstrap current in stellarators and tokamaks. United States. doi:10.1063/1.3633940.
Helander, P., Geiger, J., and Maassberg, H. Thu . "On the bootstrap current in stellarators and tokamaks". United States. doi:10.1063/1.3633940.
@article{osti_22043498,
title = {On the bootstrap current in stellarators and tokamaks},
author = {Helander, P. and Geiger, J. and Maassberg, H.},
abstractNote = {The expression for the long-mean-free-path limit of the bootstrap current in stellarators is rederived in such a way that the expansion procedure is identical to that used in the corresponding calculation for a tokamak. In addition, the first correction due to finite collisionality is calculated and shown to vanish in quasi-isodynamic configurations without net current. This correction, which is proportional to the square root of the collisionality, is found to compare well with a numerical solution of the first-order drift kinetic equation in spherical tokamak geometry. Numerically, it appears that there is a similar correction in general stellarator geometry, which however depends on the strength of the radial electric field.},
doi = {10.1063/1.3633940},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 9,
volume = 18,
place = {United States},
year = {2011},
month = {9}
}