Universal Critical Holography and Domain Wall Formation
arxiv(2024)
Abstract
Using holography, we study the universal scaling laws governing the
coarsening dynamics of strongly coupled domain walls. Specifically, we studied
the universal dependence of the length of the domain wall interfaces on the
quench rate. The relation satisfies the Kibble-Zurek scaling shortly after the
critical point. However, as time goes by, the coarsening dynamics suppresses
the Kibble-Zurek scaling in favor of a universal dynamical scaling of the
characteristic length and the adiabatic growth of the system. Theoretical
predictions of the universal scaling laws are consistent with numerical
findings in both regimes for both weak and strongly coupled systems.
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