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.
Cite
@article{arxiv.hep-ph/0310255,
title = {Unified model for vortex-string network evolution},
author = {C. J. A. P. Martins and J. N. Moore and E. P. S. Shellard},
journal= {arXiv preprint arXiv:hep-ph/0310255},
year = {2009}
}
Comments
5 pages; v2: cosmetic changes, version to appear in PRL