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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 oftopological defects, kinks, is proportional to the fourth root of the rate ofthe quench. This confirms the more general theory of domain-size evolution inthe course of symmetry breaking transformations proposed by one of us\cite{Zurek85}. Using these ideas, it is possible to compute the density oftopological defects from the quench timescale and from the equilibrium scalingof the correlation length and relaxation time near the critical point.Comment: 4 pages (REVTeX), including 4 figures (postcript). Submitted to Phys.  Rev. Let

Density of Kinks after a Quench: When Symmetry Breaks, How Big are the Pieces?