Transport Equations for Superconductors

Publisher Website
Google Scholar
Abstract
Using the microscopic theory of superconductivity due to Bardeen, Cooper, and Schrieffer, transport equations, analogous to the Boltzmann transport equation for normal metals, are developed for superconductors. The damping is assumed to arise from collisions of the electrons with randomly distributed impurities. The collisions are treated in the Born approximation. By making suitable assumptions about the solutions to the transport equation, the two-fluid model of a superconductor is derived. The response of a superconductor to various driving forces is investigated, giving expressions for the phenomenological relations and thermal conductivity of a superconductor.