A two-dimensional (radius and poloidal angle), analytically tractable
kinetic model of the ion (or energetic electron) behavior in the scrap
e-off layer of a limiter or divertor plasma in a tokamak is presented.
The model determines the boundary conditions on the core ion density
and ion temperature gradients, the power load on the limiter or divert
or plates, the energy carried per particle to the walls, and the effec
tive flux limit. The self-consistent electrostatic potential in the qu
asineutral scrape-off layer is determined by using the ion kinetic mod
el of the layer along with a Maxwell-Boltzmann electron response that
occurs because most electrons are reflected by the Debye sheaths (assu
med to be infinitely thin) at the limiter or divertor plates.