Commensurate, Incommensurate and Random Structures in a One-Dimensional Lattice Gas Model
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概要
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A study is made on the structure problem in a one-dimensional lattice gas model with an interaction being convex, repulsive and of an arbitrary range. It is shown that particle configurations in this model may take commensurate, incommensurate and random structures at the ground state according to two parameters involved, namely the particle concentration and the interaction range. It is also shown that random structures that occur at a finite range turn into commensurate and in commensurate structures in the infinite-range limit. We point out the possible existence o an intermediate structure between ordered and random structures, where the intermediate structure is characterized by structural undecidability and statistical non-independence. Some examples are given including Penrose's lattice in two dimensions and "fractal crystals" presented recently by the present authors.
- 理論物理学刊行会の論文
- 1987-09-25
著者
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Shinjo K
Ntt Electrical Communication Laboratories Nippon Telegram And Telephone Corporation
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SHINJO Kazumasa
NTT Electrical communication Laboratories, Nippon Telegram and Telephone Corporation
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SASADA Tomohei
Sagami Institute of Technology
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Sasada T
Kobe Univ. Kobe
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SASADA Toshihiro
Department of Physics, Kobe University
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