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

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

1996-07-18

arxiv.org/abs/gr-qc/9607041v1

Phys.Rev.Lett. 78 (1997) 2519-2522

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages (REVTeX), including 4 figures (postcript). Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.78.2519

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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