Plasmoid instability in the semi-collisional regime

Bhat, Pallavi; Loureiro, Nuno F.

doi:10.1017/s002237781800106x

Title: Plasmoid instability in the semi-collisional regime

Journal Article · Mon Nov 19 00:00:00 EST 2018 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/s002237781800106x· OSTI ID:1610188

Bhat, Pallavi ^[1]; Loureiro, Nuno F. ^[1]

Massachusetts Institute of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center

Here, we investigate analytically and numerically the semi-collisional regime of the plasmoid instability, defined by the inequality $$δ_{SP} \gg ρ_s \gg δ_{in}$$, where $$δ_{SP}$$ is the width of a Sweet–Parker current sheet, $$ρ_s$$ is the ion sound Larmor radius and $$δ_{in}$$ is the width of the boundary layer that arises in the plasmoid instability analysis. Theoretically, this regime is predicted to exist if the Lundquist number S and the length of the current sheet L are such that ($$L/ρ_s$$)^14/9 < S < ($$L/ρ_s$$)² (for a sinusoidal-like magnetic configuration; for a Harris-type sheet the lower bound is replaced with ($$L/ρ_s$$)^8/5). These bounds are validated numerically by means of simulations using a reduced gyrokinetic model conducted with the code Viriato. Importantly, this regime is conjectured to allow for plasmoid formation at relatively low, experimentally accessible, values of the Lundquist number. Our simulations obtain plasmoid instability at values of S as low as ~250. The simulations do not prescribe a Sweet–Parker sheet; rather, one is formed self-consistently during the nonlinear evolution of the initial tearing mode configuration. This proves that this regime of the plasmoid instability is realizable, at least at the relatively low values of the Lundquist number that are accessible to current dedicated experiments.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Science Foundation (NSF)

Grant/Contract Number:: FG02-91ER54109; SC0016215

OSTI ID:: 1610188

Journal Information:: Journal of Plasma Physics, Vol. 84, Issue 6; ISSN 0022-3778

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

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