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Journal of Physics A Mathematical and Theoretical

Non-equilibrium critical dynamics of two-dimensional XY model with Hamiltonian equations of motion

A Asad, B Zheng

Published Oct 7, 2008• 0 citations
Publisher
DOI
10.1088/1751-8113/41/44/449801

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It is shown that the non-equilibrium vortex annealing of structural disorder in a two-dimensional XY-model leads to a non-equilibrium critical coarsening. Large clusters are separated into an individual subsystem, the relaxation dynamics of which is much slower than the relaxation dynamics of the cluster subsystem as a whole. Despite the fact that the main equilibrium critical properties, even the Berezinskii-Kosterlitz-Thouless phase transition temperature T BKT ( p ), of the two-dimensional XY-model with disorder thermalization do not change as compared with the system with quench disorder, the non-equilibrium critical relaxation shows significant differences.