  A model calculation is presented to characterize the anomalous cross-field
transport of electrons in a Hall thruster geometry. The anomalous nature of the
transport is attributed to the chaotic dynamics of the electrons arising from
their interaction with fluctuating unstable electrostatic fields of the
electron cyclotron drift instability that is endemic in these devices.
Electrons gain energy from these background waves leading to a significant
increase in their temperature along the perpendicular direction $T_\perp /
T_\parallel \sim 4$ and an enhanced cross-field electron transport along the
thruster axial direction. It is shown that the wave-particle interaction
induces a mean velocity of the electrons along the axial direction, which is of
the same order of magnitude as seen in experimental observations.
