Particle Transport in Stochastic Media With Multivariate Gamma Statistics: Analytical Results With Application to Atoms in Tokamaks

Neutral particles (atoms, molecules) play an important role in thermonuclear fusion magnetic confinement devices. At the very edge of the plasma, close to the wall, density fluctuations with amplitude comparable to the mean density have been reported. In this work, we analyze the effect of these fluctuations on the transport of neutral particles, using a multivariate Gamma model to describe the spatial correlations of fluctuations. Analytical results are obtained in 1D for the average neutral particle density in the presence of scattering.