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Breaking of periodicity at positive temperatures

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Abstract

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.

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Author notes

  1. J. Miekisz

    Present address: Institut de Physique Théorique, Université de Louvain-la-Neuve, Belgium

Authors and Affiliations

  1. Institute for Theoretical Physics, University of Groningen, P.O. Box 800, Groningen, The Netherlands

    A. C. D. van Enter

  2. Department of Mathematics, University of Missouri, 65211, Columbia, Missouri, USA

    J. Miekisz

Authors
  1. A. C. D. van Enter
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  2. J. Miekisz
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Communicated by M. Aizenman

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van Enter, A.C.D., Miekisz, J. Breaking of periodicity at positive temperatures. Commun.Math. Phys. 134, 647–651 (1990). https://doi.org/10.1007/BF02098451

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  • DOI: https://doi.org/10.1007/BF02098451

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