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arXiv · 1711.09518

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

Shanjin Wu·Huichao Song
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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, $τ_{\mbox{KZ}}$, $l_{\mbox{KZ}}$, and $θ_{\mbox{KZ}}$, the constructed functions $\bar{f}_n((τ-τ_c)/τ_{\mbox{KZ}},θ_{\mbox{KZ}})$ (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.

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Shanjin Wu, Huichao Song. 2017-11-27. Universal scaling of non-equilibrium critical fluctuations from Langevin dynamics of model A. https://arxiv.org/abs/1711.09518

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