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Vortex annihilation in the ordering kinetics of the O(2) model

Gene F. Mazenko·Robert A. Wickham
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Abstract

The vortex-vortex and vortex-antivortex correlation functions are determined for the two-dimensional O(2) model undergoing phase ordering. We find reasonably good agreement with simulation results for the vortex-vortex correlation function where there is a short-scaled distance depletion zone due to the repulsion of like-signed vortices. The vortex-antivortex correlation function agrees well with simulation results for intermediate and long-scaled distances. At short-scaled distances the simulations show a depletion zone not seen in the theory.

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Gene F. Mazenko, Robert A. Wickham. 1996-12-05. Vortex annihilation in the ordering kinetics of the O(2) model. https://doi.org/10.1103/physreve.55.5113

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