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Reactivity of closed fusion reactor systems for advanced fuels

almost converge for mesh numbers of more than 20 in the above four cases. The results of cases I and IV are in good agreement with the parabolic and uniform cases in Ref. [4], although, in case I, the profile of the electron density is slightly different from that in Ref. [4] near the plasma boundary. Figure 2 is the profile of the normalized ion temperature g(x) for case II. Generally speaking, a flat profile of the ion temperature is obtained for a peaky profile of the electron density, and vice versa. In Fig. 3, the results obtained for the profiles (6-7) are summarized as the contours of A on the (1/m, l/n)-plane, where N=20, Tj(a) = 1 eV, A1=0.9 and 82=1.0. As it is usually seen in tokamak experiments that the profile of the current density is more peaky than that of the electron density, it is concluded from Fig. 3 that X is almost independent of the current density profile and only depends on that of the electron density. From the above discussion, it is concluded that non-linear programming can be applied and is effective in analysing the steady-state problems of a tokamak plasma. The approach presented in this letter for solving the non-linear differential equation can be extended to problems on more complicated systems, e. g. equilibrium analysis of an axisymmetric toroidal plasma.