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Chin. Phys., 2003, Vol. 12(6): 626-631    DOI: 10.1088/1009-1963/12/6/010
PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES Prev   Next  

Analytic description of tokamak equilibrium sustained by high fraction bootstrap current

Shi Bing-Ren
Southwestern Institute of Physics, Chengdu 610041, China
Abstract  By using an expansion technique based on the tokamak ordering, the Grad-Shafranov equation is analytically solved for tokamak equilibrium sustained by a full bootstrap current. This approximate approach is suitable for equilibria with non-circular cross-sections of modest ellipse and triangular deformations. As an input parameter set, the plasma pressure profile and the electron and the ion temperature profiles can be selected as arbitrary functions of the averaged minor radius. Equilibrium properties of this plasma are discussed.
Keywords:  tokamak ordering      full bootstrap sustained equilibrium      bootstrap current  
Received:  12 July 2002      Revised:  04 March 2003      Published:  16 March 2005
PACS:  52.55.Fa (Tokamaks, spherical tokamaks)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 19975015 ) and by the China Nuclear Science Foundation (Grant No Y7100C0301).

Cite this article: 

Shi Bing-Ren Analytic description of tokamak equilibrium sustained by high fraction bootstrap current 2003 Chin. Phys. 12 626

[1] Bootstrap current fraction scaling for spherical torus plasmas
Shi Bing-Ren. Chin. Phys. B, 2004, 13(12): 2097-2104.
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