Computer simulations of a flow of charged particles driven with a travellin
g electrostatic wave along a flat solid boundary were performed. Many-parti
cle flows of this kind are shown to exhibit self-consistent behaviour pract
ically independent of the initial particle conditions. The average macrosco
pic velocity of the flow results from the interplay of the driving field an
d the interactions in the system. This velocity can take any value between
zero and the wave phase velocity and may even become negative (directed opp
osite to the wave propagation). The average velocity in the intermediate re
gime flows is achieved through the scattering of particles between differen
t velocity states.