Abstract
We study variations of the order parameter and the vector potential with time using the rescaled time-dependent Ginzburg - Landau (TDGL) equation. Computer simulations for several conditions are performed to discuss the bias current distribution and the time necessary for the transition from the normal state to the superconducting state for the superconducting narrow line. As a result, we have found that the time necessary for the transition from the normal state to the superconducting state is an important factor to explain the I - V characteristics due to the vortex motion in superconducting narrow lines.
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