On the flux flow resistivity of type 2 superconductors

The flux flow resistivity of type II superconductors in low magnetic fields is calculated by a method that does not involve the rate of energy dissipation. Solutions for the local current density surrounding an isolated moving vortex are obtained from a time dependent Ginzburg-Landau equation, and the flux flow resistivity is calculated. The equations are then modified to include the effects of local temperature gradients that drive the entropy current and the resistivity is recalculated. Modifications due to the curvature of the vortices are included, and the relation of the transport current to the microscopic current density is examined in both the small field (B<<Hc1) and intermediate field (Hc1<<B<<Hc2) regions. It is pointed out that the nonuniformity of the local current density implies a nonlinearity of the resistivity against B curve.