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Journal of Statistical Physics

, Volume 66, Issue 3–4, pp 1147–1153 | Cite as

How should one define a (weak) crystal?

  • A. C. D. van Enter
  • Jacek Miekisz
Short Communications

Abstract

We compare two proposals for the study of positional long-range order: one in terms of the spectrum of the translation operator, the other in terms of the Fourier spectrum. We point out that only the first one allows for the consideration of molecular, as opposed to atomic, (weakly) periodic structures. We illustrate this point on the Thue-Morse system.

Key words

Positional long-range order Fourier spectrum spectrum of the shift 

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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • A. C. D. van Enter
    • 1
  • Jacek Miekisz
    • 1
  1. 1.Institute for Theoretical PhysicalUniversity of GroningenGroningenThe Netherlands

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