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By combining the ideal MHD equilibrium equations with the concept of universal profiles, it is shown that the electron density n(e)(r) and temperature T(e)(r) in a tokamak are related by n(e)T(e)(-0.5) = alpha (U-U(0))I/R where U is the loop voltage, U(0) is attributed to polarisation, I is the toroidal current and R is the major radius of the machine. The coefficient alpha depends on para- or diamagnetism and on toroidal effects and exhibits a weak dependence on the minor radius. If alpha is expressed in terms of the parallel Spitzer conductivity, the above formula is in good agreement with ohmic and co-injection experiments performed in TEXTOR.

Additional information

Authors: PSIMOPOULOS M, Imperial College of Science and Technology, London (GB)
Bibliographic Reference: Article: Physics Letters A, Vol. 162 (1992) No. 2, pp. 182-186
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