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Collisional alpha transport in a weakly rippled magnetic field

Journal Article · · Journal of Plasma Physics

To properly treat the collisional transport of alpha particles due to a weakly rippled tokamak magnetic field the tangential magnetic drift due to its gradient (the$$\unicode[STIX]{x1D735}B$$drift) and pitch angle scatter must be retained. Their combination gives rise to a narrow boundary layer in which collisions are able to match the finite trapped response to the ripple to the vanishing passing response of the alphas. Away from this boundary layer collisions are ineffective. There the$$\unicode[STIX]{x1D735}B$$drift of the alphas balances the small radial drift of the trapped alphas caused by the ripple. A narrow collisional boundary layer is necessary since this balance does not allow the perturbed trapped alpha distribution function to vanish at the trapped–passing boundary. The solution of this boundary layer problem allows the alpha transport fluxes to be evaluated in a self-consistent manner to obtain meaningful constraints on the ripple allowable in a tokamak fusion reactor. A key result of the analysis is that collisional alpha losses are insensitive to the ripple near the equatorial plane on the outboard side where the ripple is high. As the high field side ripple is normally very small, collisional$$\sqrt{\unicode[STIX]{x1D708}}$$ripple transport is unlikely to be a serious issue.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
FG02-91ER54109
OSTI ID:
1610180
Journal Information:
Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 2 Vol. 85; ISSN 0022-3778
Publisher:
Cambridge University Press
Country of Publication:
United States
Language:
English

References (14)

Ripple modifications to alpha transport in tokamaks journal October 2018
The effect of tangential drifts on neoclassical transport in stellarators close to omnigeneity journal March 2017
Plasma equilibrium with rational magnetic surfaces journal January 1981
Neoclassical transport of isotropic fast ions journal January 1990
Confinement of High-Energy Trapped Particles in Tokamaks journal August 1981
Simulations of alpha particle ripple loss from the International Thermonuclear Experimental Reactor journal August 1996
Generalized ripple-banana transport in a tokamak journal December 1983
Neoclassical transport in stellarators journal January 1987
Thermal conductivity due to ripple-trapped ions in a tokamak journal March 1982
Banana drift transport in tokamaks with ripple journal January 1982
Generalized banana-drift transport journal April 1986
Plasma Diffusion in a Toroidal Stellarator journal March 1969
Ripple‐induced energetic particle loss in tokamaks journal August 1996
The Theory of Toroidally Confined Plasmas book July 2001

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