Influence of length on the noise delayed switching of long Josephson   junctions
  The transient dynamics of long overlap Josephson junctions in the frame of the sine-Gordon model with a white noise source is investigated. The effect of noise delayed decay is observed for the case of overdamped sine-Gordon equation. It is shown that this noise induced effect, in the range of small noise intensities, vanishes for junctions lengths greater than several Josephson penetration length. 
K. G. Federov, A.L. Pankratov and B. Spagnolo