The Square-Triangle Random-Tiling Model in the Thermodynamic Limit - J. Phys. A27, 3599 (1994)
The Square-Triangle Random-Tiling Model in the Thermodynamic Limit - J. Phys. A27, 3599 (1994)
复制标题
DOI：
10.1088/0305-4470/27/11/010
复制
发表时间：
1994-06
期刊：
影响因子：
--
通讯作者：
P. Kalugin
中科院分区：
文献类型：
--
作者：
P. Kalugin
考虑了正方形-三角形随机平铺模型的热力学极限。本文给出了Widom（1993）最近发现的Bethe-Anchor方程的解析解。对于α t>或= 12的情况，即对于具有6重对称性的相子梯度，包括作为限制情况的12重对称相位，导出了作为三角形α t占据的平面的分数的函数的熵密度的解析表达式。还找到了相子弹性常数的精确值。
The thermodynamic limit for the square-triangle random-tiling model is considered. The analytic solution of the Bethe-ansatz equations found recently by Widom (1993) is obtained. The analytic expression for entropy density as a function of the fraction of the plane occupied by triangles alpha t is derived for the case alpha t>or= 1/2 , i.e. for the phason gradients having 6-fold symmetry, including 12-fold symmetric phase as the limiting case. The exact values for phason elastic constants are also found.