Universal Critical Holography and Domain Wall Formation

TL;DR

This paper investigates the universal scaling laws in the coarsening dynamics of strongly coupled domain walls using holography, revealing a transition from Kibble-Zurek to universal dynamical scaling regimes.

Contribution

It introduces a holographic framework to analyze universal scaling laws in domain wall coarsening, bridging weak and strong coupling behaviors.

Findings

Kibble-Zurek scaling observed shortly after the critical point

Universal dynamical scaling dominates at later times

Theoretical predictions align with numerical simulations

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.