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三维随机场伊辛模型的普遍性。

Universality in the three-dimensional random-field Ising model.

机构信息

Departamento de Física Teórica I, Universidad Complutense, E-28040 Madrid, Spain.

出版信息

Phys Rev Lett. 2013 May 31;110(22):227201. doi: 10.1103/PhysRevLett.110.227201. Epub 2013 May 29.

DOI:10.1103/PhysRevLett.110.227201
PMID:23767743
Abstract

We solve a long-standing puzzle in statistical mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.

摘要

我们解决了无序系统统计力学中的一个长期存在的难题。通过对不同形状的随机场分布的 D=3 随机场伊辛模型在零温度下进行高统计模拟,我们表明该模型受单一普适类支配。我们计算了该普适类的完整临界指数集,包括修正标度指数,并以高精度数值显示,标度由两个独立的指数描述。与以前的工作的差异可以用强标度修正来解释。

相似文献

1
Universality in the three-dimensional random-field Ising model.三维随机场伊辛模型的普遍性。
Phys Rev Lett. 2013 May 31;110(22):227201. doi: 10.1103/PhysRevLett.110.227201. Epub 2013 May 29.
2
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Deep learning on the 2-dimensional Ising model to extract the crossover region with a variational autoencoder.基于二维伊辛模型的深度学习,利用变分自编码器提取交叉区域。
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