1996/07/18 by Pablo Laguna, Wojciech Hubert Zurek · 1 citation
Physics and Astronomy · #gr-qc #cond-mat #hep-ph
paper · pdf · doi:10.1103/physrevlett.78.2519
published as Phys.Rev.Lett.78:2519-2522,1997 · 4 pages (REVTeX), including 4 figures (postcript). Submitted to Phys. Rev. Lett
arxiv created 1996/07/18 · arxiv updated 2014/11/17
Numerical study of order parameter dynamics in the course of second order (Landau-Ginzburg) symmetry breaking transitions shows that the density of topological defects, kinks, is proportional to the fourth root of the rate of the quench. This confirms the more general theory of domain-size evolution in the course of symmetry breaking transformations proposed by one of us \citeZurek85. Using these ideas, it is possible to compute the density of topological defects from the quench timescale and from the equilibrium scaling of the correlation length and relaxation time near the critical point.