Non-equilibrium critical dynamics of pure and diluted 2DXY-model

Coarsening in Critical Dynamics of 2D XY-Model

“…The influence of structural defects were investigated for system with spin concentration p = 0.9 and p = 0.8. The critical temperature for different spin concentration was found in [5]: T BKT (p = 0.9) = 0.68; T BKT (p = 0.8) = 0.49. The simulation was performed for different linear size of the system: L = 32, 64, 128, 256.…”

“…Thus, it is predicted that the presence of structural defects does not affect to two-dimensional XY -model behaviour near the critical temperature T BKT . However, in low-temperature phase for T < T BKT , as shown by analytical and numerical study of the equilibrium properties of the model [5], the presence of defects to changing of equilibrium characteristics for the correlation features and their concentration dependence. However, the dynamics of structurally disordered XY -dimensional model was still not investigated carefully.…”

Nonequilibrium critical behavior of model statistical systems and methods for the description of its features

“…AEÎâ ÄÓÇÏÈÐ t À t w 4 a 2 , ÅAEÇ a ì ÖÎßÕÓÂ×ËÑÎÇÕÑÄÞÌ ÒÂÓÂÏÇÕÓ ÑÃÓÇÊÂÐËâ ÏËÍÓÑÔÍÑÒËÚÇÔÍÑÌ ÒÓËÓÑAEÞ, l tat w , ZT ì ÍÓËÕËÚÇÔÍËÌ ËÐAEÇÍÔ, ÔÄâÊÂÐÐÞÌ Ô ÒÑÒÇÓÇÚÐÑÌ ÉÈÔÕÍÑÔÕßá r s ÔËÔÕÇÏÞ ÔÎÇAEÖáÜËÏ ÔÑÑÕÐÑ-ÛÇÐËÇÏ: 0Y8932J [97,99], T BKT p 0Y9 0Y6797J, T BKT p 0Y8 0Y4854J [97]. ¥Îâ ÒÑÎÖÚÇÐËâ AEÄÖØÄÓÇÏÇÐÐÞØ ÊÂÄËÔË-ÏÑÔÕÇÌ ÂÄÕÑÍÑÓÓÇÎâÙËÑÐÐÑÌ ×ÖÐÍÙËË …”

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model

“…We provide a massive Monte Carlo calculation for the precise determination of the temperatures of the BKT phase transition T BKT (p). We used Binder's cumulants and ratio of correlation functions [13,36]. So, the critical temperatures for different spin concentrations p take on the following values: T BKT (p = 0.9) = 0.68(1), T BKT (p = 0.8) = 0.49(2), T BKT (p = 0.7) = 0.34(2) and T BKT (p = 0.6) = 0.16 (2).…”