Vortex Dynamics in a Coarsening Two Dimensional XY Model

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 tx, 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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