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Vortex Dynamics in a Coarsening Two Dimensional XY Model

Hai Qian·Gene F. Mazenko
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Abstract

The vortex velocity distribution function for a 2-dimensional coarsening non-conserved O(2) time-dependent Ginzburg-Landau model is determined numerically and compared to theoretical predictions. In agreement with these predictions the distribution function scales with the average vortex speed which is inversely proportional to t^x, where t is the time after the quench and x is near to 1/2. We find the entire curve, including a large speed algebraic tail, in good agreement with the theory.

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Hai Qian, Gene F. Mazenko. 2003-06-03. Vortex Dynamics in a Coarsening Two Dimensional XY Model. https://doi.org/10.1103/physreve.68.021109

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