Averaged Methods for Vortex-String Evolution

Abstract

We discuss friction-dominated vortex-string evolution using a new analytic model recently developed by the authors. By treating the average string velocity, as well as the characteristic lengthscale, as dynamical variables, we can provide a quantitative picture of the complete evolution of a vortex-string network. Previously known scaling laws are confirmed, and new quantitative predictions regarding loop production and evolution are made.

Comments: REVTeX, 21 pages, 23 .eps files included. Submitted to Phys. Rev. B. Minor changes---but some key concepts clarified