Publication

Breaking of Periodicity at Positive Temperatures

Enter, A. C. D. V. & Miękisz, J., 1990, In : Communications in Mathematical Physics. 134, 3, p. 647-651 5 p.

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  • A.C.D. van Enter
  • J. Miękisz
We discuss a classical lattice gas model without periodic or quasiperiodic ground states. The only ground state configurations of our model are nonperiodic Thue-Morse sequences. We show that low temperature phases of such models can be ordered. In fact, we prove the existence of an ordered (nonmixing) low temperature translation invariant equilibrium state which has nonperiodic Gibbs states in its extremal decomposition.
Original languageEnglish
Pages (from-to)647-651
Number of pages5
JournalCommunications in Mathematical Physics
Volume134
Issue number3
Publication statusPublished - 1990

    Keywords

  • COMPLETE DEVILS STAIRCASE, LONG-RANGE INTERACTIONS, LATTICE GAS-MODEL, PHASE-DIAGRAMS, ISING-MODEL, SYSTEMS, CRYSTALS, UNDECIDABILITY, QUASICRYSTALS

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