Vortex dynamics in dilute two-dimensional Josephson junction arrays
  The dynamics of thermally excited vortices in a dilute two-dimensional Josephson junction array where a fraction of the superconducting islands is missing has been investigated using a multiple trapping model. An expression for the frequency dependent mobility of vortices has been calculated which allows to obtain the frequency dependent complex electrodynamic response of the array for different fractions of missing islands. 
Md. Ashrafuzzaman, Massimiliano Capezzali and Hans Beck