Bethe Ansatz solution of a decagonal rectangle-triangle random tiling

被引：12

作者：

de Gier, J ^{[1
]}

Nienhuis, B ^{[1
]}

机构：

[1] Univ Amsterdam, Inst Theoret Phys, NL-1018 XE Amsterdam, Netherlands

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 09期

关键词：

D O I：

10.1088/0305-4470/31/9/006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A random tiling of rectangles and triangles displaying a decagonal phase is solved by Bethe Ansatz. Analogously to the solutions of the dodecagonal square-triangle and the octagonal rectangle-triangle tiling an exact expression for the maximum of the entropy is found.

引用

收藏

页码：2141 / 2154

页数：14

相关论文

共 16 条

[1]

BAXTER RJ, 1970, J MATH PHYS, V11, P784, DOI 10.1063/1.1665210

[2] DENSE QUASI-PERIODIC DECAGONAL DISC PACKING [J].

COCKAYNE, E .

PHYSICAL REVIEW B, 1995, 51 (21) :14958-14961

[3] Models for assisted phason hopping and phason elasticity in icosahedral quasicrystals [J].

Coddens, G .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1997, 11 (14) :1679-1716

[4] The exact solution of an octagonal rectangle-triangle random tiling [J].

deGier, J ;

Nienhuis, B .

JOURNAL OF STATISTICAL PHYSICS, 1997, 87 (1-2) :415-437

[5] Exact solution of an octagonal random tiling model [J].

deGier, J ;

Nienhuis, B .

PHYSICAL REVIEW LETTERS, 1996, 76 (16) :2918-2921

[6]

Henley C L, 1991, QUASICRYSTALS STATE, P429

[7] RANDOM TILINGS WITH QUASICRYSTAL ORDER - TRANSFER-MATRIX APPROACH [J].

HENLEY, CL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (07) :1649-1677

[8] A model of quasicrystal growth [J].

Joseph, D ;

Elser, V .

PHYSICAL REVIEW LETTERS, 1997, 79 (06) :1066-1069

[9] Distinguishing quasiperiodic from random order in high-resolution TEM images [J].

Joseph, D ;

Ritsch, S ;

Beeli, C .

PHYSICAL REVIEW B, 1997, 55 (13) :8175-8183

[10] THE SQUARE-TRIANGLE RANDOM-TILING MODEL IN THE THERMODYNAMIC LIMIT [J].

KALUGIN, PA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (11) :3599-3614