Binary Decoration and Diffraction Pattern in One-Dimensional Lattice Gas Model : Condensed Matter and Statis tical Physics

概要

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A study is made of a one-dimensional lattice gas model with the interaction between particles being repulsive, convex, and of an arbitrary finite range. The system has two parameters, the particle concentration and the interaction range. The ground-state configuration is described by a binary decoration model; two types of blocks with different size decorate the lattice, being distributed at random. When two parameters meet some condition, however, these blocks become identical to form periodic structures. The pair correlation function is obtained to give a general formula of diffraction for random-binary decoration models. The diffraction spectrum is studied for structures involved. It is found that the diffraction spectrum for the random structure shows a behavior similar to that for the periodic structures made up of smaller-size blocks. This is shown explicitly for the case in which the concentration is equal to a Liouville number. How Bragg peaks for periodic or quasiperiodic structures can be stripped out of continuous spectrum for random structures is discussed.
理論物理学刊行会の論文
1991-02-25