Space and time variations of the order parameter and other relevant quantities within a short superconducting weak link

We have numerically solved the microscopic equations of Golub for the space and time variations of the order parameter, supercurrent, and normal current within a current biased short superconducting weak link. Two limiting cases are considered. We also use a perturbation method to solve for the I–V characteristics of a weak link, and show that they are cosistent with experiment.