QUASICRYSTALLINITY IN TWIST-GRAIN-BOUNDARY PHASES

被引：4

作者：

LUBENSKY, TC ^{[1
]}

TOKIHIRO, T ^{[1
]}

RENN, SR ^{[1
]}

机构：

[1] CORNELL UNIV,ATOM & SOLID STATE PHYS LAB,ITHACA,NY 14853

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 67卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.67.89

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a simplified polymer model for twist-grain-boundary phases in liquid crystals. The thermodynamic phases of this model are characterized by an angle 2-pi-alpha. There are incommensurate phases with alpha an irrational number and commensurate phases with alpha=P/Q, with P and Q relatively prime integers. The latter have quasicrystalline symmetry for Q = 5 or Q > 6. Equilibrium phases with all values of alpha can be produced by varying a control parameter-alpha. The curve alpha(alpha) is an incomplete devil's staircase with finite locking intervals about every rational alpha.

引用

页码：89 / 92

页数：4

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