Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Collisional Diffusion in a Toroidal Pinch
Masahiro WakataniRyohei Itatani
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1973 Volume 34 Issue 1 Pages 181-188

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Abstract
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 BP comparable to a toroidal magnetic field BT.
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 BP\simeqBT reduces the connection length of a toroidal pinch. Transverse diffusion coefficients including these effects are shown to be smaller than DGS which is given by Galeev and Sagdeev. in the banana region D\simeqDGS\sqrtδ⁄ε is obtained and in the plateau region D\simeqDGS2⁄ε2), 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.
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