How plasma configurations determine poloidal magnetic field topology in tokamaks

Martín, Pablo; Castro, Enrique
December 2006
AIP Conference Proceedings;2006, Vol. 875 Issue 1, p367
Academic Journal
The theory of non-linear equilibrium has been developed in the low vorticity approximation in axisymmetric tokamaks. Pressure is not conserved around a magnetic surface, but generalized functions, including velocity terms, have been found, which are now conserved. A generalized Grad-Shafranov type equation has been also derived for this low vorticity case. As a limit, the usual equations for the linear treatment are obtained, and in this linear case new analytic solutions for the Grad-Shafranov equation, including ellipticity and triangularity, are presented, which are improvements of previous works already published by us. The topology of the poloidal magnetic is studied as a function of the ellipticity κ and the triangularity δ. Different kind of trapped particles appears now depending of κ and δ. © 2006 American Institute of Physics


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