  We report on our theoretical investigation of the effects of the confining
potential profile and sample size on the electron velocity distribution in
(narrow) quantum-Hall systems. The electrostatic properties of the electron
system are obtained by the Thomas-Fermi-Poisson nonlinear screening theory. The
electron velocity distribution as a function of the lateral coordinate is
obtained from the slope of the screened potential at the Fermi level and within
the incompressible strips (ISs). We compare our findings with the recent
experiments.
