UW-CPTC 06-8R Derivation of paleoclassical key hypothesis
نویسنده
چکیده
The paleoclassical model of radial electron heat transport in resistive, current-carrying toroidal plasmas is based on a key hypothesis — that electron guiding centers move and diffuse with radially localized annuli of poloidal magnetic flux. This hypothesis is shown to result from transforming the drift-kinetic-equation to poloidal flux coordinates in situations where this flux is governed by a diffusion equation and analyzing the mathematical characteristic curves (guiding center trajectories) of the resultant drift-kinetic equation on the magnetic field diffusion time scale τη ≡ a/6Dη. These effects add a τη time-scale Fokker-Planck-type spatial diffusion operator to the drift-kinetic equation.
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