Edge plasmas, such as the tokamak scrape-off layer, exist as a consequ
ence of a balance between cross field diffusion and parallel losses. T
his circumstance is shown to lead to an unconventional form of the par
allel ion transport laws under certain conditions. The cross field dif
fusion, whether it is classical or anomalous, affects the parallel ion
transport by modifying the parallel friction force between different
ion species, which could be important for impurity retention in a toka
mak divertor.