将朗道结晶理论与准晶的集团理论联系起来
Bridging the Landau theory of crystallization and the cluster approach to quasicrystals
摘要：
本文将Landau结晶理论与准晶集团理论相结合，提出了一个统一描述准晶组装热力学和准晶结构形成的理论。并以五角彭罗斯准格为例说明了这一理论。准晶格节点的坐标是通过最小化朗道自由能与原子团簇的内部组织所施加的约束来计算的，而没有明确使用高维晶体学。提出的程序建立直接关系之间的集群组织，准晶结构和准晶态的热力学性质。的对应关系示出的拟格建设，一方面，和传统的投影方法，另一方面，所提出的算法的基本特征之间。这为高维晶体学方法的应用提供了新的物理依据。
英文摘要：
We propose the theory which unifies the description of quasicrystal assembly thermodynamics and quasicrystal structure formation by combining the Landau theory of crystallization and the cluster approach to quasicrystals. The theory is illustrated on the example of pentagonal Penrose quasilattice. The coordinates of the quasilattice nodes are calculated by minimizing the Landau free energy with the constraint imposed by internal organization of atomic clusters, without explicit use of high-dimensional crystallography. The procedure proposed establishes direct relations between the cluster organization, quasicrystalline structure and thermodynamic properties of the quasicrystalline state. The correspondence is shown between the basic features of the proposed algorithm for quasilattice construction, on the one hand, and the conventional projection method, on the other hand. It provides a new physical justification for high-dimensional crystallography methods application.
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