Kibble Zurek mechanism in rapidly quenched phase transition dynamics
Abstract
We propose a theory to explain the experimental observed deviation from the KibbleZurek mechanism (KZM) scaling in rapidly quenched critical phase transition dynamics. There is a critical quench rate $\tau_{Q}^{c1}$ above it the KZM scaling begins to appear. Smaller than $\tau_Q^{c1}$, the defect density $n$ is a constant independent of the quench rate but depends on the final temperature $T_f$ as $n \propto L^d \epsilon_{T_f} ^{d \nu}$, the freeze out time $\hat{t}$ admits the scaling law $\hat{t} \propto \epsilon_{T_f}^{\nu z}$ where $d$ is the spatial dimension, $\epsilon_{T_f}= (1T_f/T_c)$ is the dimensionless reduced temperature, $L$ is the sample size, $\nu$ and $z$ are spatial and dynamical critical exponents. Quench from $T_c$, the critical rate is determined by the final temperature $T_f$ as $\tau_Q^{c1} \propto \epsilon_{T_f}^{(1+z \nu)} $. All the scaling laws are verified in a rapidly quenched superconducting ring via the AdS/CFT correspondence.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.07969
 Bibcode:
 2021arXiv211007969X
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Superconductivity;
 High Energy Physics  Theory
 EPrint:
 5 pages, 4 figs