Universal scaling of non-equilibrium critical fluctuations from Langevin dynamics of model A

Abstract

Within the framework of the Kibble-Zurek Mechanism, we investigate the universal behavior of the non-equilibrium critical fluctuations, using the Langevin dynamics of model A. With properly located typical time, length and angle scales, ${\tau }_{\text{mbox}KZ}$, $l_{\text{mbox}KZ}$, and ${\theta }_{\text{mbox}KZ}$, the constructed functions ${\bar{f}}_n((\tau -{\tau }_c)/{\tau }_{\text{mbox}KZ},{\theta }_{\text{mbox}KZ})$ (n=1...4) for the cumulants of the sigma field show universal behavior near the critical point, which are independent from some non-universal factors, such as the relaxation time or the evolution trajectory.

Comments: 6 pages, 3 figures, CPOD 2017 proceedings