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Density of kinks after a quench: When symmetry breaks, how big are the pieces?

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arxiv gr-qc/9607041 v1 pith:OGR62XBF submitted 1996-07-18 gr-qc cond-mathep-ph

Pablo Laguna (Penn State/Los Alamos) , Wojciech Hubert Zurek (Los Alamos) This is my paper · ORCID
classification gr-qccond-mathep-ph
keywords densityquenchsymmetrybreakingcoursedefectskinksorder
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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 \cite{Zurek85}. 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.

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