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

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, ${\tau }_{KZ}$, $l_{KZ}$, and ${\theta }_{KZ}$, the constructed functions ${\bar{f}}_n((\tau -{\tau }_c)\mathrm{/}{\tau }_{KZ},{\theta }_{KZ})$ (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.