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arXiv · hep-ph/0310255

Unified model for vortex-string network evolution

C. J. A. P. Martins·J. N. Moore·E. P. S. Shellard
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Abstract

We describe and numerically test the velocity-dependent one-scale (VOS) string evolution model, a simple analytic approach describing a string network with the averaged correlation length and velocity. We show that it accurately reproduces the large-scale behaviour (in particular the scaling laws) of numerical simulations of both Goto-Nambu and field theory string networks. We explicitly demonstrate the relation between the high-energy physics approach and the damped and non-relativistic limits which are relevant for condensed matter physics. We also reproduce experimental results in this context and show that the vortex-string density is significantly reduced by loop production, an effect not included in the usual `coarse-grained' approach.

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C. J. A. P. Martins, J. N. Moore, E. P. S. Shellard. 2004-05-02. Unified model for vortex-string network evolution. https://doi.org/10.1103/physrevlett.92.251601

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