Unified model for vortex-string network evolution

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.

5 pages; v2: cosmetic changes, version to appear in PRL

References in corpus (5)

• Quantitative String Evolution
• Extending the Velocity-dependent One-scale String Evolution Model
• On the Evolution of Abelian-Higgs String Networks
• Quantitative evolution of global strings from the Lagrangian viewpoint
• Averaged Methods for Vortex-String Evolution

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