Perturbation theory of superconducting micronetworks. Second order and self-induction effects

Abstract

The perturbation method to treat the non-linear Ginzburg-Landau equations for micronetworks previously derived is extended to higher orders in the perturbation parameters, the temperature AT and magnetic field AH measured from the phase boundary. In the present paper these two parameters are treated índependently and the perturbation equations to all orders are analyzed.