Compact formulas for bounce/transit averaging in axisymmetric tokamak geometry

Abstract

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 [Rosenbluth and Hinton, Phys.~Rev.~Lett.~{\bf 80}, 724 (1998)] accurately.

arXiv comment10 pages, 8 figures

References in corpus (5)

• Electron fishbones: Theory and experimental evidence
• Beyond linear gyrocenter polarization in gyrokinetic theory
• Compact formulas for guiding-center orbits in axisymmetric tokamak geometry
• Variational Principles for Reduced Plasma Physics
• Canonical transformation for trapped/passing guiding-center orbits in axisymmetric tokamak geometry

Cited by in corpus (3)

• On the validity of the guiding-center approximation in the presence of strong magnetic gradients
• Limit Cycle Oscillations, response time and the time-dependent solution to the Lotka-Volterra Predator-Prey model
• Analytical Calculation of the Orbital Spectrum of the Guiding Center Motion in Axisymmetric Magnetic Fields