We present a numerical study of the classical dynamics of interacting spinl
ess electrons in quantized-acoustoelectric-current devices. In these device
s, a surface acoustic wave (SAW) captures electrons from a two-dimensional
electron gas (2DEG) and transports a fraction of them through a narrow depl
eted constriction. If the same number of electrons are transported in each
cycle, a quantized current will result. In our model, each SAW minimum capt
ures similar to 30 electrons as the SAW maximum behind it passes through th
e 2DEG chemical potential. It then moves toward the center of the constrict
ion losing on average one electron every 3 ps as it becomes smaller. For te
mperatures below similar to1.7 K the electrons form a crystal, which heats
up to this temperature through the equipartition of excess potential energy
produced by the loss of electrons. Thermal excitation out of the minima th
en results in variations in the number of electrons transported. At tempera
tures above similar to1.7 K the electrons are in a more liquidlike state an
d evaporative cooling occurs. The dependence of acoustoelectric current on
the constriction potential and the temperature are found to be in good agre
ement with experiment.