论文标题
2D随机键合和3D Blume-Capel模型的通用性方面
Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models
论文作者
论文摘要
我们报告了大规模的王 - 兰道蒙特卡洛模拟，其中两种自旋模型在两（2D）和三维（3D）中的临界行为，即2D随机键模模型和零晶体晶体耦合的纯3D Blume-Capel模型。我们获得的数值数据和相关的有限尺寸缩放分析为这两个模型的普遍性方面提供了明确的答案。特别是，对于2D ISING模型的随机键值，理论上预测了强烈普遍性的假设，而对于Blume-Capel模型的二阶制度，则验证了预期的$ d = 3 $ ising普遍性。我们的研究是通过王兰道算法和关键能源子空间方案的联合使用来促进的，这表明所提出的方案能够为复杂自旋系统的关键行为提供准确的结果。
We report on large-scale Wang-Landau Monte Carlo simulations of the critical behavior of two spin models in two- (2d) and three-dimensions (3d), namely the 2d random-bond Ising model and the pure 3d Blume-Capel model at zero crystal-field coupling. The numerical data we obtain and the relevant finite-size scaling analysis provide clear answers regarding the universality aspects of both models. In particular, for the random-bond case of the 2d Ising model the theoretically predicted strong universality's hypothesis is verified, whereas for the second-order regime of the Blume-Capel model, the expected $d=3$ Ising universality is verified. Our study is facilitated by the combined use of the Wang-Landau algorithm and the critical energy subspace scheme, indicating that the proposed scheme is able to provide accurate results on the critical behavior of complex spin systems.
