Analytic Expressions for Neoclassical Transport Coefficients Including Finite Banana-Width Effect around the Magnetic Axis

概要

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A simple interpolation formula between the neoclassical transport coefficients at the magnetic axis and the conventional ones is presented for an axisymmetric toroidal plasma. Using this formula, the analytic expressions for the parallel current and the radial particle and heat fluxes are derived. In addition, the bootstrap current due to fusion-produced alpha particles is also obtained. Our results reduce to the conventional ones when the ratio δ^<1/3>_a/√<ε> is much less than unity, where ε is the inverse aspect ratio, and δ_a=2q_0ρ_a/kR_0 with the major radius R_0, the elongation parameter k, the safety factor q_0 at the magnetic axis, and the Larmor radius ρ_a for species a. The finite banana-width effect is shown to modify the conventional neoclassical transport coefficients around the magnetic axis satisfying the condition √<ε><δ^<1/3>_a.
社団法人プラズマ・核融合学会の論文
2001-02-25