We show, using a tight-binding model and time-dependent density-functional
theory, that a quasi-steady state current can be established dynamically in a
finite nanoscale junction without any inelastic effects. This is simply due to
the geometrical constriction experienced by the electron wavepackets as they
propagate through the junction. We also show that in this closed
non-equilibrium system two local electron occupation functions can be defined
on each side of the nanojunction which approach Fermi distributions with
increasing number of atoms in the electrodes. The resultant conductance and
current-voltage characteristics at quasi-steady state are in agreement with
those calculated within the static scattering approach.Comment: 4+ pages in REVTEX4, 4 epsf figure