Open AccessVortex annealing of structural disorder in non-equilibrium critical relaxation of the two-dimensional site-diluted XY-model with generalized model of disorder
Author(s) -
Anna P. Popova,
Ivan S. Popov,
П. В. Прудников
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1740/1/012012
Subject(s) - vortex , limiting , annealing (glass) , condensed matter physics , percolation (cognitive psychology) , fixed point , statistical physics , relaxation (psychology) , classical xy model , materials science , physics , thermodynamics , mathematics , phase transition , mathematical analysis , mechanical engineering , psychology , social psychology , neuroscience , biology , engineering
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.