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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Miekisz, J. A microscopic model with quasicrystalline properties. J Stat Phys 58, 1137–1149 (1990). https://doi.org/10.1007/BF01026568
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DOI: https://doi.org/10.1007/BF01026568