二维随机彭罗斯平铺的构型熵

Materials Science and Engineering Pub Date : 1988-03-01 DOI:10.1016/0025-5416(88)90353-9

L.C. Chen, F. Spaepen

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引用次数: 3

摘要

用两种方法计算了彭罗斯菱形二维随机平铺的构型熵。通过确定物理模型构建过程中每个瓦片的可用配置数量来估计配置退化，对于组成无约束的瓦片，每个瓦片的熵为0.495k。基于每个顶点周围的构型数量而不考虑它们之间的相关性的几何模型给出了更高的值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The configurational entropy of two-dimensional random Penrose tilings

The configurational entropy of two-dimensional random tilings of Penrose rhombi has been calculated by two methods. Estimating the configurational degeneracy by determining the number of available configurations of each tile during physical model building gave an entropy of 0.495k per tile for a compositionally unconstrained tiling. Geometrical models based on the number of configurations around each vertex without correlations between them, gave higher values.

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