米字格上伊辛模型的数值模拟
Numerical simulations of the Ising model on the Union Jack lattice
摘要：
本文回顾了吴和林在米字格伊辛模型上的工作。这个模型是感兴趣的，因为它是少数几个显示重入相变。具体来说，我们重新检查他们的结果一般各向异性的亚晶格磁化，比较这些与Vaks，Larkin和Ovchinnikov的作品，和我们自己的数值模拟。我们讨论的分歧，发现在两个亚晶格的预测，包括非零反铁磁的结果和旋转方差。然后，我们将建议额外的条件和修改的公式，以产生有效的结果。
英文摘要：
This paper reviews the work of Wu and Lin on the Union Jack lattice Ising model. This model is of interest as it one of the few to display re-entrant phase transitions. Specifically we re-examine their result for the general anisotropic sublattice magnetisations, comparing these with the works of Vaks, Larkin and Ovchinnikov, and our own numerical simulations. We discuss the disagreements found in both sublattice predictions including non-zero antiferromagnetic results and a rotational variance. We will then suggest additional conditions and modified formulae that will allow valid results to be produced.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
