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Low-temperature stability of quasicrystals

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  • Miȩkisz, J.

Abstract

We discuss classical lattice-gas models without periodic ground states. To prove the thermodynamic stability of such systems we have to construct nonperiodic equilibrium states which are small perturbations of ground states. We review partial results in this direction and discuss possibilities of constructing a model with nonperiodic equilibrium states. It would be a microscopic (toy) model of a quasicrystal, a system of interacting particles with a stable nonperiodic equilibrium state.

Suggested Citation

  • Miȩkisz, J., 1996. "Low-temperature stability of quasicrystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(3), pages 657-661.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:3:p:657-661
    DOI: 10.1016/0378-4371(96)00175-6
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    References listed on IDEAS

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    1. van Enter, A.C.D., 1996. "On the set of pure states for some systems with non-periodic long-range order," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(3), pages 600-607.
    2. Widom, Mike & Cockayne, Eric, 1996. "Atomic correlations in AlCo decagonal approximant phases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(3), pages 713-722.
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