Kibble Zurek mechanism in rapidly quenched phase transition dynamics

Chuan-Yin Xia; Hua-Bi Zeng

paper

Kibble Zurek mechanism in rapidly quenched phase transition dynamics

arXiv:2110.07969

Abstract

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

arXiv comment5 pages, 4 figs

Kibble Zurek mechanism in rapidly quenched phase transition dynamics

Abstract

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