Vortex annealing of structural disorder in non-equilibrium critical relaxation of the two-dimensional site-diluted XY-model with generalized model of disorder

Abstract

Abstract The work is devoted to investigation of non-equilibrium vortex annealing of structural disorder in the two-dimensional site-diluted XY-model. The system incorporates mobile and fixed structure defects, with concentrations c (a) and c (q) correspondingly. Limiting cases c (a) ≃ c (q) and c (a) ≪ c (q) were considered. Dynamic clusterization of mobile defects was investigated by analysis of time dependences of size of the largest clusters and of averaged size of clusters. A comparison of the results with behavior of the XY-model with mobile defects only, revealed a qualitative change in non-equilibrium critical relaxation in case of c (a) ≪ c (q). That may be related to considerable slowing down of non-equilibrium vortex dynamics due to vortex pinning on fixed defects and attraction of percolation fixed point.