We study the evolution of the electron velocity distribution function
in high-speed solar wind streams from the collision-dominated corona a
nd into the collisionless interplanetary space. The model we employ so
lves the kinetic transport equation with the Fokker-Planck collision o
perator to describe Coulomb collisions between electrons. We use a tes
t particle approach, where test electrons are, injected into a prescri
bed solar wind background. The density, temperature, and electric fiel
d associated with the background are computed from fluid models. The t
est electrons are in thermal equilibrium with the background at the ba
se of the corona, and we study the evolution of the velocity distribut
ion of the test electrons as a function of altitude. We find that velo
city filtration, due to the energy dependence of the Coulomb cross sec
tion, is a small effect and is not capable of producing significant be
ams in the distribution or a temperature moment that increases with al
titude. The distribution function is mainly determined by the electric
held and the expanding geometry and consists of a population with an
almost isotropic core which is bound in the electrostatic potential an
d a beam-like high-energy tail which escapes. The trapped electrons co
ntribute significantly to the even moments of the distribution functio
n but almost nothing to the odd moments; the drift speed and energy fl
ux moments are carried solely by the tail. In order to describe the hi
gh-speed solar wind observed near 0.3 AU by the Helios spacecraft, we
use a multifluid model where ions are heated preferentially. The resul
ting test electron distribution at 0.3 AU, in this background, is in v
ery good agreement with the velocity distributions observed by the Hel
los spacecraft.