Finite size scaling of the 5D Ising model with free boundary conditions
Finite size scaling of the 5D Ising model with free boundary conditions
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DOI：
10.1016/j.nuclphysb.2014.10.011
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发表时间：
2014-08
期刊：
影响因子：
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通讯作者：
P. Lundow;K. Markström
中科院分区：
文献类型：
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作者：
P. Lundow;K. Markström
有一个长期运行的争论的有限尺寸缩放的伊辛模型的自由边界条件以上的上临界尺寸，其中的标准图片给出了一个L2标度的磁化率和替代的理论，促进了L5/2标度，将是循环边界的情况下。在本文中，我们提出了迄今为止使用的最大系统的模拟结果，最多侧L= 160，并发现这些数据清楚地支持标准缩放。此外，我们提出了一个讨论，为什么严格的随机簇模型的结果提供了支持标准的缩放图片和一个清晰的解释，为什么自由和循环边界的缩放应该是不同的。
There has been a long running debate on the finite size scaling for the Ising model with free boundary conditions above the upper critical dimension, where the standard picture gives an L 2 scaling for the susceptibility and an alternative theory has promoted an L 5/2 scaling, as would be the case for cyclic boundary. In this paper we present results from simulation of the far largest systems used so far, up to side L= 160 and find that this data clearly supports the standard scaling. Further we present a discussion of why rigorous results for the random-cluster model provide both supports for the standard scaling picture and a clear explanation of why the scalings for free and cyclic boundary should be different.