So far transport properties of nanoscale contacts have been mostly studied
within the static scattering approach. The electron dynamics and the transient
behavior of current flow, however, remain poorly understood. We present a
numerical study of microscopic current flow dynamics in nanoscale quantum point
contacts. We employ an approach that combines a microcanonical picture of
transport with time-dependent density-functional theory. We carry out atomic
and jellium model calculations to show that the time evolution of the current
flow exhibits several noteworthy features, such as nonlaminarity and edge flow.
We attribute these features to the interaction of the electron fluid with the
ionic lattice, to the existence of pressure gradients in the fluid, and to the
transient dynamical formation of surface charges at the nanocontact-electrode
interfaces. Our results suggest that quantum transport systems exhibit
hydrodynamical characteristics which resemble those of a classical liquid.Comment: 8 pages, 5 figures; Accepted for publication in Phys. Rev.