M. Machida et H. Kaburaki, NUMERICAL-SIMULATION OF FLUX-PINNING DYNAMICS FOR A DEFECT IN A TYPE-II SUPERCONDUCTOR, Physical review. B, Condensed matter, 50(2), 1994, pp. 1286-1289
We perform a computer simulation of the flux-pinning dynamics for a si
ngle defect under the presence of both the applied current and the ext
ernal magnetic field by directly solving the time-dependent Ginzburg-L
andau equation coupled with the Maxwell equation in a two-dimensional
rectangular region. With one vortex flow path and a single defect, we
found two types of vortex motions around the defect, which are one-flu
x and two-flux pinning, depending on the size of the defect. The crite
rion of the two-flux pinning is studied by both numerical simulation a
nd a simplified free-energy calculation. We also present the effect of
a single defect on the V-I characteristics.