Parallel plasma transport at long mean-free path

Transport parallel to the magnetic field of toroidal plasma confinement system is investigated through kinetic theory, with emphasis on the long mean-free path limit. It is noted that a full transport matrix does not exist in the collisionless limit. A collisionless transport law, involving a non-local operator that account for toroidal topology is derived for parallel heat conduction on ergodic magnetic surface. In the rational surface case, perpendicular diffusion must be included in the kinetic equation to avoid singularity; this allows a calculation of the width and amplitude of resonant temperature perturbations that will be excited by heat sources with sufficiently broad Fourier spectra. (author)