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arxiv: hep-ph/0310255 · v2 · submitted 2003-10-21 · ✦ hep-ph · astro-ph· cond-mat· gr-qc· hep-th

Unified model for vortex-string network evolution

classification ✦ hep-ph astro-phcond-matgr-qchep-th
keywords approachstringevolutionmodelnetworkphysicsvortex-stringaccurately
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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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