Gradient corrections to the time-dependent Ginzburg-Landau equation for anisotropic perturbations of quasiparticles

Abstract

Following Gor'kov and Eliashberg [Zh. Eksp. Teor. Fiz. 54, 612 (1968)], we derive the time-dependent Ginzburg-Landau equation from the nonequilibrium Green functions. Space-gradient terms appearing due to anisotropic perturbations of quasiparticles are evaluated. It is shown that the dominant contribution due to the normal current can be included with no increase in the complexity of the set of equations.