Fluid descriptions are not adequate for edge plasma studies when the h
igh collision frequency assumption fails in the presence of rapid tran
sient processes. The results of analytic and numerical modeling of som
e of the non-Maxwellian features of edge plasma transport associated w
ith transient heating and cooling phenomena in the scrape-off layer ar
e presented, It is found that kinetic effects alter the heat conductio
n coefficient and lead to interesting critical behavior of the distrib
ution function. The numerics are performed with the recently developed
time-dependent Fokker-Planck code ALLA. (C) 1996 American Institute o
f Physics.