  Recent experiments have demonstrated the nonequilibrium control of the
supercurrent through diffusive phase-coherent normal-metal weak links. The
experimental results have been accurately described by the quasiclassical
Green's function technique in the Keldysh formalism. Taking into account the
geometry of the structure, different energy scales and the nonidealities at the
interfaces allows us to obtain a quantitative agreement between the theory and
the experimental results in both the amplitude and the phase dependence of the
supercurrent, with no or very few fitting parameters. Here we discuss the most
important factors involved with such comparisons: the ratio between the
superconducting order parameter and the Thouless energy of the junction, the
effect of additional wires on the weak link, and the effects due to
imperfections, most notably due to the nonideal interfaces.
