Communications in Mathematical Physics

, Volume 134, Issue 3, pp 647–651 | Cite as

Breaking of periodicity at positive temperatures

  • A. C. D. van Enter
  • J. Miekisz


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.


Neural Network Nonlinear Dynamics Quantum Computing Classical Lattice Temperature Phase 
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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • A. C. D. van Enter
    • 1
  • J. Miekisz
    • 2
  1. 1.Institute for Theoretical PhysicsUniversity of GroningenGroningenThe Netherlands
  2. 2.Department of MathematicsUniversity of MissouriColumbiaUSA

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