The kinetics of neutral atoms in a plasma undergoing charge-exchange,
ionization, and recombination is considered. It is shown that if the m
ean-free path divided by the macroscopic scale length is constant, it
is possible to introduce self-similar variables in the Boltzmann equat
ion for the neutral particles. This equation is then solved analytical
ly, and the nonlocal transport of heat and particles is calculated. Si
nce the mean-free path increases with increasing energy, a one-sided,
high-energy tail is formed in the neutral distribution function. This
tail may contribute significantly to the heat and particle fluxes. Whe
n this is the case, the fluid approximation of these quantities breaks
down at arbitrarily short mean-free paths. (C) 1996 American Institut
e of Physics.