Coordinate-choice independent expression for drift orbit flux and flux-force relation in neoclassical toroidal viscosity theory
Abstract
A coordinate-choice independent expression does not depend how the magnetic surface is parametrized by (θ,ζ). Flux-force relation in neoclassical toroidal viscosity(NTV) theory has been generalized in a coordinate-choice independent way. The expression for the surface averaged drift orbit flux in 1/ regime is derived without the requirement of straight field line coordinates. The resulted formula is insensitive to how the magnetic surface is parametrized and broadens the cases where flux-force relation can be applied. Construction of straight field line coordinates is avoided when the formula is used for numerical computation.
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