4.3 Article

Long-wavelength limit of gyrokinetics in a turbulent tokamak and its intrinsic ambipolarity

Journal

PLASMA PHYSICS AND CONTROLLED FUSION
Volume 54, Issue 11, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0741-3335/54/11/115007

Keywords

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Funding

  1. Ministerio de Ciencia e Innovacion (Spain) [ENE2009-07247]
  2. US DoE [DE-SC008435]
  3. EPSRC [EP/G049718/1] Funding Source: UKRI
  4. Engineering and Physical Sciences Research Council [EP/G049718/1] Funding Source: researchfish

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Recently, the electrostatic gyrokinetic Hamiltonian and change of coordinates have been computed to order epsilon(2) in general magnetic geometry. Here epsilon is the gyrokinetic expansion parameter, the gyroradius over the macroscopic scale length. Starting from these results, the long-wavelength limit of the gyrokinetic Fokker-Planck and quasineutrality equations is taken for tokamak geometry. Employing the set of equations derived in the present paper, it is possible to calculate the long-wavelength components of the distribution functions and of the poloidal electric field to order epsilon(2). These higher order pieces contain both neoclassical and turbulent contributions, and constitute one of the necessary ingredients (the other is given by the short-wavelength components up to second order) that will eventually enter a complete model for the radial transport of toroidal angular momentum in a tokamak in the low flow ordering. Finally, we provide an explicit and detailed proof that the system consisting of second-order gyrokinetic Fokker-Planck and quasineutrality equations leaves the long-wavelength radial electric field undetermined; that is, the turbulent tokamak is intrinsically ambipolar.

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