Threshold Perturbations in Current-Carrying Superconducting Bridges with   a Finite Length near the Critical Temperature
  Near the critical temperature of a superconducting transition, the energy of the threshold perturbation $\delta F_{thr}$ that transfers a superconducting bridge to a resistive state at a current below the critical current $I_c$ has been determined. It has been shown that $\delta F_{thr}$ increases with a decrease in the length of a bridge for short bridges with lengths $L<\xi$ (where $\xi$ is the coherence length) and is saturated for long bridges with $L\gg \xi$. At certain geometrical parameters of banks and bridge, the function $\delta F_{thr}(L)$ at the current $I\to 0$ has a minimum at $L\sim 2-3 \xi$. These results indicate that the effect of fluctuations on Josephson junctions made in the form of short superconducting bridges is reduced and that the effect of fluctuations on bridges with lengths $\sim 2-3 \xi$ is enhanced. 
P. M. Marychev and D. Yu. Vodolazov
cond-mat.supr-con