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Abstract. This paper summarises a number of distinct, but related, pieces
of work on key confinement issues for tokamaks, in particular the formation
of internal and edge transport barriers, both within turbulent and
neoclassical models, and radial diffusion of avalanching runaway electrons.
First-principle simulations of tokamak turbulence and transport using the
two-fluid, electromagnetic, global code CUTIE are described. The code has
demonstrated the spontaneous formation of internal transport barriers near
mode rational surfaces, in qualitative agreement with observations on JET
and RTP. The theory of neoclassical transport in an impure, toroidal plasma
has been extended to allow for steeper pressure and temperature gradients
than are usually considered, and is then found to become nonlinear under
conditions typical of the tokamak edge. For instance, the particle flux is
found to be a nonmonotonic function of the gradients, thus allowing for a
bifurcation in the ion particle flux. Finally, it is shown that radial
diffusion caused by magnetic fluctuations can effectively suppress
avalanches of runaway electrons if the fluctuation amplitude exceeds
B/B
10-3.
IAEA 2001