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

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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, τKZ, lKZ, and θKZ, the constructed functions fₙ((τ-τc)/τKZ,θKZ) (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.