U.S. Department of EnergyOffice of Scientific and Technical Information
Bootstrap current and parallel ion velocity in imperfectly optimized stellarators
Abstract
A novel derivation of the parallel ion velocity, and the bootstrap and Pfirsch-Schlüter currents in an imperfectly optimized (that is, almost omnigenous) stellarator magnetic field, \vec B, is presented. It is shown that, when the conventional radially local form of the drift kinetic equation is employed, the flow velocity and the bootstrap current acquire a spurious contribution proportional to ω /ν , where ω denotes the \vec E × \vec B rotation frequency (due to the radial electric field E ) and ν the collision frequency. This contribution is particularly large in the squareroot ν regime and at smaller collisionalities, where ω /ν > 1 , and is presumably present in most numerical calculations, but it disappears if a more accurate drift kinetic equation is used.
- Authors:
-
- OSTI
- Publication Date:
- DOE Contract Number:
- FG02-91ER54109
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
- OSTI Identifier:
- 1881469
- DOI:
- https://doi.org/10.7910/DVN/IWRKDK
Citation Formats
Catto, Peter J., and Helander, Per. Bootstrap current and parallel ion velocity in imperfectly optimized stellarators. United States: N. p., 2019.
Web. doi:10.7910/DVN/IWRKDK.
Catto, Peter J., & Helander, Per. Bootstrap current and parallel ion velocity in imperfectly optimized stellarators. United States. doi:https://doi.org/10.7910/DVN/IWRKDK
Catto, Peter J., and Helander, Per. 2019.
"Bootstrap current and parallel ion velocity in imperfectly optimized stellarators". United States. doi:https://doi.org/10.7910/DVN/IWRKDK. https://www.osti.gov/servlets/purl/1881469. Pub date:Thu Nov 21 04:00:00 UTC 2019
@article{osti_1881469,
title = {Bootstrap current and parallel ion velocity in imperfectly optimized stellarators},
author = {Catto, Peter J. and Helander, Per},
abstractNote = {A novel derivation of the parallel ion velocity, and the bootstrap and Pfirsch-Schlüter currents in an imperfectly optimized (that is, almost omnigenous) stellarator magnetic field, \vec B, is presented. It is shown that, when the conventional radially local form of the drift kinetic equation is employed, the flow velocity and the bootstrap current acquire a spurious contribution proportional to ω /ν , where ω denotes the \vec E × \vec B rotation frequency (due to the radial electric field E ) and ν the collision frequency. This contribution is particularly large in the squareroot ν regime and at smaller collisionalities, where ω /ν > 1 , and is presumably present in most numerical calculations, but it disappears if a more accurate drift kinetic equation is used.},
doi = {10.7910/DVN/IWRKDK},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Nov 21 04:00:00 UTC 2019},
month = {Thu Nov 21 04:00:00 UTC 2019}
}