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

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

2001-07-10

arxiv.org/abs/cond-mat/0107188v2

Phys.Rev. E65 (2002) 026133

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.65.026133

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.

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