Geometric Explanation of Anomalous Finite-Size Scaling in High Dimensions
Geometric Explanation of Anomalous Finite-Size Scaling in High Dimensions
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DOI：
10.1103/physrevlett.118.115701
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发表时间：
2017-03-13
影响因子：
8.6
通讯作者：
Deng, Youjin
中科院分区：
文献类型：
--
作者：
Grimm, Jens;Elci, Eren Metin;Deng, Youjin
We give an intuitive geometric explanation for the apparent breakdown of standard finite-size scaling in systems with periodic boundaries above the upper critical dimension. The Ising model and self-avoiding walk are simulated on five-dimensional hypercubic lattices with free and periodic boundary conditions, by using geometric representations and recently introduced Markov-chain Monte Carlo algorithms. We show that previously observed anomalous behavior for correlation functions, measured on the standard Euclidean scale, can be removed by defining correlation functions on a scale which correctly accounts for windings.
