非热滞回转变中调幅不稳定性的二维特征
Finite-dimensional signature of spinodal instability in an athermal hysteretic transition
摘要：
研究了无序无热系统中滞后一级相变的非平衡临界现象。研究了空间维$d=2,3,$和$4$临界无序以上的零温随机场伊辛模型。我们使用蒙特卡罗模拟表明，无序抑制临界减慢相序时间的有限维系统。动态滞后缩放，显式有限时间缩放的措施，随后被用来量化的临界减速。所有维度的标度指数随无序强度的增加而增加，并最终达到一个稳定值，在该值处，变换不再是关键的。在平均场极限的相关临界行为是非常不同的，在所有维度的各种障碍的指数值是相似的。随着维数的增加，非平均场指数渐近地接近平均场值（$Υ\approx 2/3$）。结果表明，在滞后亚稳相的临界特征是由固有的平均场调幅不稳定性，在低维无热系统中的无序变得模糊。
英文摘要：
We study the off-equilibrium critical phenomena across a hysteretic first-order transition in disordered athermal systems. The study focuses on the zero temperature random field Ising model (ZTRFIM) above the critical disorder for spatial dimensions $d=2,3,$ and $4$. We use Monte Carlo simulations to show that disorder suppresses critical slowing down in phase ordering time for finite-dimensional systems. The dynamic hysteresis scaling, the measure of explicit finite-time scaling, is used to subsequently quantify the critical slowing down. The scaling exponents in all dimensions increase with disorder strength and finally reach a stable value where the transformation is no longer critical. The associated critical behavior in the mean-field limit is very different, where the exponent values for various disorders in all dimensions are similar. The non-mean-field exponents asymptotically approach the mean-field value ($Υ\approx 2/3$) with increase in dimensions. The results suggest that the critical features in the hysteretic metastable phase are controlled by inherent mean-field spinodal instability that gets blurred by disorder in low-dimension athermal systems.
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