On the relation between density and temperature profiles in tokamaks
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.
Bibliographic Reference: Article: Physics Letters A, Vol. 162 (1992) No. 2, pp. 182-186
Record Number: 199310130 / Last updated on: 1994-11-29
Original language: en
Available languages: en