论文标题
在三个维度上的三态随机波特模型的临界行为
Critical behavior of the three-state random-field Potts model in three dimensions
论文作者
论文摘要
在过去的20年中，在我们对随机场模型的理解中，已经取得了巨大的进步，现在至少在热平衡中就其行为的许多方面达成了共识。相比之下，对具有广泛应用的随机场Potts模型的概括知之甚少。在这里，我们通过研究三个维度的三态随机斑点模型的研究开始填补这一空白。在基于ISING系统的基础计算成功的基础上，我们使用基于图形方法的最近开发的近似方案来研究系统系统的零温度随机固定点的性能，该固定点决定了零温度过渡行为。我们发现令人信服的证据表明连续过渡。实施广泛的有限尺寸缩放（FSS）分析，我们确定了关键指数，并将其与随机场ISING模型的指数进行比较。
Enormous advances have been made in the past 20 years in our understanding of the random-field Ising model, and there is now consensus on many aspects of its behavior at least in thermal equilibrium. In contrast, little is known about its generalization to the random-field Potts model which has wide-ranging applications. Here we start filling this gap with an investigation of the three-state random-field Potts model in three dimensions. Building on the success of ground-state calculations for the Ising system, we use a recently developed approximate scheme based on graph-cut methods to study the properties of the zero-temperature random fixed point of the system that determines the zero and non-zero temperature transition behavior. We find compelling evidence for a continuous phase transition. Implementing an extensive finite-size scaling (FSS) analysis, we determine the critical exponents and compare them to those of the random-field Ising model.
