Exact finite-size scaling functions for the interfacial tensions of the Ising model on planar lattices

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

Exact finite-size scaling functions of the interfacial tensions are obtained for the Ising model with isotropic coupling on a set of M×N planar lattices, including square (sq), plane triangular (pt), and honeycomb (hc) lattices. The analyses of transitive behaviors at criticality revise the knowledge of the interfacial tensions as a function of the aspect ratio defined by R=MN for R approaching to zero gradually. The amplitudes of the interfacial tensions for the sq, pt, and hc lattices are further shown to have relative proportions 1:32:3 which are related to the aspect ratios for the three lattices to have similar domains.

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文章編號046135
期刊Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
73
發行號4
DOIs
出版狀態已出版 - 2006

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