English

The formation of vortex loops (strings) in continuous phase transitions

Statistical Mechanics 2009-11-07 v2 High Energy Physics - Phenomenology

Abstract

The formation of vortex loops (global cosmic strings) in an O(2) linear sigma model in three spatial dimensions is analyzed numerically. For over-damped Langevin dynamics we find that defect production is suppressed by an interaction between correlated domains that reduces the effective spatial variation of the phase of the order field. The degree of suppression is sensitive to the quench rate. A detailed description of the numerical methods used to analyze the model is also reported.

Keywords

Cite

@article{arxiv.cond-mat/0107188,
  title  = {The formation of vortex loops (strings) in continuous phase transitions},
  author = {Mark Bowick and Angelo Cacciuto and Alex Travesset},
  journal= {arXiv preprint arXiv:cond-mat/0107188},
  year   = {2009}
}

Comments

LaTeX, 17 pages, 6 eps figures 2 references and a footnote added

R2 v1 2026-07-22T10:24:23.542Z