A microscopic model with quasicrystalline properties |
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Authors: | Jacek Miekisz |
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Institution: | (1) Department of Mathematics, University of Missouri, 65211 Columbia, Missouri |
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Abstract: | A classical lattice gas model with two-body nearest neighbor interactions and without periodic ground-state configurations is presented. The main result is the existence of a decreasing sequence of temperatures for which the Gibbs states have arbitrarily long periods. It is possible that the sequence accumulates at nonzero temperature, giving rise to a quasiperiodic equilibrium state. |
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Keywords: | Aperiodic tilings classical lattice gas models phase transitions quasicrystals |
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