Eulerian approach to bounce-transit and drift resonance with magnetic drifts in tokamaks

K. C. Shaing, J. Seol, M. S. Chu, S. A. Sabbagh

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Bounce-transit and drift resonance can be important to plasma confinement in tokamaks with a broken symmetry. The resonance usually is either treated by integrating along the unperturbed orbits or calculated using an action-angle approach. An Eulerian approach has been developed to take into account the momentum conservation property of the Coulomb collision operator. The difference between the Eulerian approach and other approaches is in the thermodynamic forces of the transport fluxes, and the corresponding toroidal plasma viscosity. The mass and heat flows that are parallel to the equilibrium magnetic field B appear in the thermodynamic forces in the Eulerian approach. However, in the existing Eulerian approach, only the E × B drift is kept in the theory; the magnetic drifts, i.e., ∇B, and curvature drifts are neglected by adopting the large aspect ratio assumption, where E is the electric field and B = |B|. Here, the Eulerian approach is extended to include the magnetic drifts, which is important for energetic alpha particles as well, to calculate neoclassical toroidal plasma viscosity in finite aspect ratio tokamaks. The relation to the nonlinear plasma viscosity in the plateau regime will also be discussed.

Original languageEnglish
Article number082509
JournalPhysics of Plasmas
Volume24
Issue number8
DOIs
Publication statusPublished - 2017 Aug 1

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transit
toroidal plasmas
viscosity
aspect ratio
Coulomb collisions
thermodynamics
plasma control
mass flow
energetic particles
heat transmission
alpha particles
conservation
plateaus
broken symmetry
curvature
orbits
momentum
operators
electric fields
magnetic fields

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

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Eulerian approach to bounce-transit and drift resonance with magnetic drifts in tokamaks. / Shaing, K. C.; Seol, J.; Chu, M. S.; Sabbagh, S. A.

In: Physics of Plasmas, Vol. 24, No. 8, 082509, 01.08.2017.

Research output: Contribution to journalArticle

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AU - Seol, J.

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