It is shown that the collisionless transformation of locally trapped and
passing particle orbits in the optimized stellarators of the Wendelstein
line results in stochastic diffusion of energetic ions. This diffusion
can lead to the loss of a significant fraction of the energetic ion
population from the region where the characteristic diffusion time is
small compared to the slowing down time. The loss region and losses can
be minimized by shaping the plasma temperature and density profiles so
that they satisfy certain requirements. The predictions of the theory
developed here are in agreement with the results of numerical modeling
of alpha -particle confinement in a Helias reactor, which has been
carried out with the use of an orbit following code. (C) 2001 American
Institute of Physics.
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