Electrical Conductivity in Toroidal Plasma with Trapped Particles

Abstract

The electrical conductivity in a toroidal plasma has been calculated, using the exact Fokker-Planck operators for electron-electron and electron-ion collisions. It is found that the nonlinear effects of the electron-electron operator are of order $\frac{r}{R}$, where $r$ and $R$ are the minor and major radii of a flux surface. The conductivity can be written as $\sigma ={\sigma }_{\mathrm{Spi}\mathrm{t}\mathrm{zer}}[1-\frac{3}{2}{\left(\frac{r}{R}\right)}^{\frac{1}{2}}+O(\frac{r}{R}\left)\right]$.