Compact formulas for bounce/transit averaging in axisymmetric tokamak geometry

Journal Article · Mon Dec 15 00:00:00 EST 2014 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4903885· OSTI ID:22403355

Duthoit, F. -X. ^[1]; Brizard, A. J. ^[2]; Hahm, T. S. ^[3]

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1. SNU Division of Graduate Education for Sustainabilization of Foundation Energy, Seoul National University, Seoul 151-742 (Korea, Republic of)
2. Department of Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)
3. Department of Nuclear Engineering, Seoul National University, Seoul 151-742 (Korea, Republic of)

Compact formulas for bounce and transit orbit averaging of the fluctuation-amplitude eikonal factor in axisymmetric tokamak geometry, which is frequently encountered in bounce-gyrokinetic description of microturbulence, are given in terms of the Jacobi elliptic functions and elliptic integrals. These formulas are readily applicable to the calculation of the neoclassical susceptibility in the framework of modern bounce-gyrokinetic theory. In the long-wavelength limit for axisymmetric electrostatic perturbations, we recover the expression for the Rosenbluth-Hinton residual zonal flow [M. N. Rosenbluth and F. L. Hinton, Phys. Rev. Lett. 80, 724 (1998)] accurately.

• OSTI ID: 22403355
• Journal Information: Physics of Plasmas, Vol. 21, Issue 12; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AMPLITUDES
AXIAL SYMMETRY
EIKONAL APPROXIMATION
FLUCTUATIONS
GEOMETRY
JACOBIAN FUNCTION
NEOCLASSICAL TRANSPORT THEORY
TOKAMAK DEVICES