Collisional Diffusion in a Toroidal Pinch

概要

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Transverse diffusion coefficients in a toroidal pinch are investigated for three regions of collision frequencies. The configuration of a toroidal pinch is characterized by a large poloidal magnetic field B_P comparable to a toroidal magnetic field B_T. We calculated diffusion coefficients following the scheme of Galeev and Sagdeev. In a toroidal pinch particles can be trapped in a local magnetic mirror formed by both a toroidal magnetic field and a poloidal magnetic field. Furthermore B_P≃B_T reduces the connection length of a toroidal pinch. Transverse diffusion coefficients including these effects are shown to be smaller than D_<GS> which is given by Galeev and Sagdeev. In the banana region D_<⊥>≃D_<GS>√<δ/ε> is obtained and in the plateau region D_<⊥>≃D_<GS>(δ^2/ε^2), where ε denotes an aspect ratio and a small parameter δ denotes the inhomogeneity of the toroidal magnetic field in the toroidal pinch. Here it is noted that a safety factor included in D_<⊥> may be smaller than or comparable to unity. In the MHD region D_<⊥> also includes a factor δ/ε.
社団法人日本物理学会の論文
1973-01-05