Abstract
Section 4.2 derives Grad–Shafranov equilibrium equation (4.14) for axisymmetric system and Sect. 4.3 presents the exact solution (4.17) with 4 free parameters, so that major radius R, aspect ratio A, elongation ratio \(k_\mathrm{s}\) and central poloidal beta \(\beta _\mathrm{p}0\) can be specified. Section 4.5 reduces upper limit of beta ratio from equilibrium condition and Sect. 4.6 derives Pfirsh-Schlüter current which is important to estimate classical diffusion of toroidal plasma in Sect. 5.1.
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Miyamoto, K. (2016). Equilibrium. In: Plasma Physics for Controlled Fusion. Springer Series on Atomic, Optical, and Plasma Physics, vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49781-4_4
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DOI: https://doi.org/10.1007/978-3-662-49781-4_4
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