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Research Needs for Magnetic Fusion Energy Sciences - US Burning ...

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magnetic diffusion time, t a is the transit time <strong>for</strong> alfvén waves over the minor radius, t e is the<br />

electron temperature, n i is the ion density, and r i is ion gyroradius, the size of the orbits of ions<br />

about magnetic field lines. in the limit where stochastic magnetic transport is dominant, the scaling<br />

of magnetic turbulence with S is crucial. in the limit where stochastic magnetic transport is<br />

minimized, electrostatic transport may be most important. This second limit has begun to be accessed<br />

using current profile control, which reduces the current-gradient drive <strong>for</strong> tearing modes,<br />

but such a limit may also be reached spontaneously at high S. if electrostatic transport is dominant,<br />

then as in configurations with a larger winding number, the main controlling parameters<br />

will be r* and the collisionality, the rate at which particles collide with other particles.<br />

The spontaneous reduction in magnetic turbulence resulting from a natural transition from a<br />

multi-helicity state (multiple tearing modes) to a single-helicity state (single dominant mode) is<br />

an emerging theme with potentially large impact on RFP confinement. operation at higher current<br />

(and higher S) in RFX-mod indicates a natural preference (self-organization) <strong>for</strong> quasi-singlehelicity<br />

conditions. application of 3-d shaping or modifications of the plasma surface via external<br />

control coils might cause these states to be even more robust. The control of resistive wall modes<br />

in next-step RFP experiments requires a flexible set of active control coils, and these coils might<br />

also serve to control single-helicity transitions using 3-d shaping.<br />

Presently mst is capable of i p ~ 0.5 ma, with maximum S of about 10 7 (without current profile<br />

control) and r* = 0.013, both quantities measured at the plasma center. RFX-mod is presently capable<br />

of i p ≥ 1.5 ma, with S of about 4×10 7 and r* = 0.007. a burning RFP plasma, with an estimated<br />

i p ~ 20 ma and t e = 10 kev, will have much larger S of about 6×10 9 and much smaller r* ~<br />

0.002. There also exists a large gap in computation and theory. single-fluid computation has been<br />

used to study RFP dynamics with S ≤ 10 6 . at substantially higher S, two-fluid (electron and ion)<br />

physics is expected to be more important. Gyrokinetic calculations are only now beginning to be<br />

applied to the RFP. The capability <strong>for</strong> significant 3-d shaping will be important to understand single-helicity<br />

physics, both theoretically and experimentally.<br />

research requirements<br />

Understanding transport mechanisms and confinement scaling in the RFP requires a substantial<br />

extension in the lundquist number and normalized ion gyroradius, both experimentally and<br />

in theoretical modeling. an upgrade to mst’s power supplies may allow <strong>for</strong> modestly higher ip (e.g., 0.8 ma), with S up to 4×107 and r* down to 0.009. an upgrade already underway at RFXmod<br />

will allow ip of at least 2.2 ma, with S up to 3×108 and r* down to 0.005. but to achieve the<br />

iteR-era goal, at least one RFP facility will be needed with capabilities well beyond that of mst<br />

and RFX-mod. one possible embodiment of such a facility in the Us is envisioned as a two-stage<br />

experiment, ultimately capable of ip ≥ 4 ma, S ~ 109 , and r* ≤ 0.007. This single facility could first<br />

be operated as an advanced proof-of-principle experiment with initially lower ip and lower S. but<br />

with a substantial upgrade to its power supplies, it would then transition to a full-fledged per<strong>for</strong>mance<br />

extension facility to establish the basis <strong>for</strong> an RFP burning plasma in the iteR era. basing<br />

two next steps on a single facility can hasten progress in RFP research and may prove less costly.<br />

The critical physics that governs robust transition to a steady-state single-helicity state is not yet<br />

known, although high plasma current and good control of the magnetic boundary are observed<br />

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