Mean-field theory of Archimedean and quasicrystalline tilings

Mean-field theory of Archimedean and quasicrystalline tilings
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DOI:
10.1080/14786430601083348
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发表时间:
2007-01
影响因子:
1.6
通讯作者:
T. Dotera
T. Dotera
中科院分区:
材料科学3区
文献类型:
--
作者:
T. Dotera

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研究了不可压缩条件下的三个成分合金系统的简单理论,该理论似乎给出了相图的区域,在该区域中,Archimedean瓷砖阶段在二维中是稳定的,我们发现了DeeteCagonal和Decagonal Quasicrystals似乎是稳定的。重新探讨了亚历山大 - 麦金 - 莫明 - 特罗伊的理论。
A simple Landau theory of three-component alloy systems under incompressible condition is investigated, which appears to give regions of the phase diagram in which Archimedean tiling phases are stable in two dimensions. Moreover, we find regions where dodecagonal and decagonal quasicrystals appear to be stable. The Alexander–MacTague and Mermin–Troian theories of weak crystallization are revisited.