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

Source: [Vortex annihilation in the ordering kinetics of the O(2) model](<https://www.sota2.com/research/paper/68fa244b2c2a3760193a234a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:03:37.711Z

Authors: Gene F. Mazenko, Robert A. Wickham

Published: 1996-12-05T20:59:09.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9612054>)

[PDF](<https://arxiv.org/pdf/cond-mat/9612054.pdf>)