In a tokamak divertor, steep gradients in the density and temperature
profiles are usually established with a scale length that is often sho
rter than the mean-free path of energetic electrons. The electron flux
is then non-local in nature, being determined not only by local densi
ty and temperature gradients but by integrals of these quantities over
an extended region in space. In the present work, such non-local expr
essions for the electron particle and heat fluxes are derived, general
izing earlier work to include the effects of walls bounding the plasma
. The results are found to be in excellent agreement with a numerical
solution of the full kinetic equation, if the temperature falls off ra
pidly near the wall. In the opposite limit df a nearly isothermal plas
ma, a comparison with a variational calculation of the particle flux i
s presented, showing less satisfying agreement.