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

2017/11/27 by Shanjin Wu, Wu, Shanjin, Huichao Song +1
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1711.09518

openalex publication_date 2017/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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_KZ, l_KZ, and θ_KZ, the constructed functions f_n((τ-τ_c)/τ_KZ,θ_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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