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Merging of the superbanana plateau and $$\sqrt{v}$$ transport regimes in nearly quasisymmetric stellarators

Journal Article · · Journal of Plasma Physics
 [1];  [2];  [3]
  1. Massachusetts Institute of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
  2. Institute for Advanced Study, Princeton, NJ (United States); Flatiron Institute, New York, NY (United States)
  3. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

We report alpha particle confinement is one of the most demanding issues for stellarators. It now seems clear that it is possible to design optimized stellarators that confine the background plasma at near tokamak radial transport levels. Moreover, adequate collisionless alpha particle confinement is possible in the core of a highly optimized stellarator. Here, the collisional confinement of barely trapped alphas in an optimized stellarator is considered by accounting for the resonance due to the reversal in direction of the drift within a flux surface and investigating the sensitive role of magnetic shear in keeping this resonance close to the passing boundary in some nearly quasisymmetric stellarator configurations. The treatment relies on a narrow collisional boundary layer formulation that combines the responses of both these resonant pitch angle alphas and the remaining barely trapped alphas. A novel merged regime treatment leads to explicit expressions for the energy diffusivity for both superbanana plateau (or resonant plateau) and $$\sqrt{v}$$ transport in the large aspect ratio limit for a slowing down tail alpha distribution function, where v is the effective pitch angle scattering collision frequency of the trapped alphas off the background ions. Depending on the details of the optimization scheme and the sign of the magnetic shear, modest magnetic shear can be used to reduce superbanana (or resonant) plateau transport to below the $$\sqrt{v}$$ transport level. In addition, a quasilinear equation retaining spatial diffusion is derived for a general alpha distribution function that allows the radial alpha transport to modify the distribution so it is no longer isotropic in velocity space.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE; W. M. Keck Foundation; Simons Foundation
Grant/Contract Number:
FG02-91ER54109; AC02-09CH11466
OSTI ID:
1914092
Journal Information:
Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 1 Vol. 89; ISSN 0022-3778
Publisher:
Cambridge University PressCopyright Statement
Country of Publication:
United States
Language:
English

References (38)

Quasi-helically symmetric toroidal stellarators journal May 1988
Superbanana and superbanana plateau transport in finite aspect ratio tokamaks with broken symmetry journal December 2014
Ripple modifications to alpha transport in tokamaks journal October 2018
Direct construction of optimized stellarator shapes. Part 1. Theory in cylindrical coordinates journal December 2018
Direct construction of optimized stellarator shapes. Part 2. Numerical quasisymmetric solutions journal January 2019
Direct construction of optimized stellarator shapes. Part 3. Omnigenity near the magnetic axis journal November 2019
Stellarator equilibria with reactor relevant energetic particle losses journal October 2019
Constructing stellarators with quasisymmetry to high order journal November 2019
Drift kinetic theory of alpha transport by tokamak perturbations journal March 2021
Collisional broadening of nonlinear resonant wave–particle interactions journal November 2021
Finite orbit width effects in large aspect ratio stellarators journal October 2022
Neoclassical transport of isotropic fast ions journal January 1990
Magnetic field strength of toroidal plasma equilibria journal October 1991
Existence of quasihelically symmetric stellarators journal October 1991
Neoclassical transport in helically symmetric plasmas journal January 1981
Plasma equilibrium with rational magnetic surfaces journal January 1981
Bumpy torus transport in the low collision frequency limit journal January 1981
Transport and isomorphic equilibria journal January 1983
Neoclassical transport in stellarators journal January 1987
Omnigenity and quasihelicity in helical plasma confinement systems journal September 1997
Benchmarking of the mono-energetic transport coefficients—results from the International Collaboration on Neoclassical Transport in Stellarators (ICNTS) journal June 2011
Less constrained omnigeneous stellarators journal February 2015
Quasi-helical symmetry in stellarators journal November 1995
A general solution of the ripple-averaged kinetic equation (GSRAKE) journal April 1995
Limitations of gyrokinetics on transport time scales journal April 2008
Effects of the radial electric field in a quasisymmetric stellarator journal November 2010
Stellarators close to quasisymmetry journal November 2013
Optimizing stellarators for large flows journal August 2014
The effect of tangential drifts on neoclassical transport in stellarators close to omnigeneity journal March 2017
Optimized quasisymmetric stellarators are consistent with the Garren–Boozer construction journal May 2019
Recent advances in stellarator optimization journal October 2017
Properties of a new quasi-axisymmetric configuration journal January 2019
A model for the fast evaluation of prompt losses of energetic ions in stellarators journal October 2021
Magnetic Fields with Precise Quasisymmetry for Plasma Confinement journal January 2022
Collisional Damping of a Plasma Echo journal February 1968
Plasma Diffusion in a Toroidal Stellarator journal March 1969
Helical Plasma Confinement Devices with Good Confinement Properties journal January 1997
The Theory of Toroidally Confined Plasmas book July 2001