Bootstrap current and parallel ion velocity in imperfectly optimized stellarators

Catto, Peter J.; Helander, Per

doi:10.1017/s002237781900093x

Title: Bootstrap current and parallel ion velocity in imperfectly optimized stellarators

Journal Article · 12 January 2020 · Journal of Plasma Physics

DOI: https://doi.org/10.1017/s002237781900093x · OSTI ID:1897052

^[1];

^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); OSTI
Max-Planck-Institut für Plasmaphysik (Germany)

Here, 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, B, is presented that somewhat more generally recovers expressions completely consistent with previous analytic results. However, it is also 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/$$\textit{ν}$$, where ω denotes the E×B rotation frequency (due to the radial electric field E ) and $$\textit{ν}$$ the collision frequency. This contribution is particularly large in the $$\sqrt{v}$$ 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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: FG02-91ER54109

OSTI ID:: 1897052

Journal Information:: Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 1 Vol. 86; ISSN 0022-3778

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

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