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cond-mat.stat-mechNov 20, 1997
13
citations (OpenAlex)
authors
  • Aernout van Enter
  • Jacek Miekisz
  • Milos Zahradnik
institutions
  • Charles University
  • University of Groningen
  • University of Warsaw
arXiv abstractPDF
paper

Non-periodic long-range order for fast decaying interactions at positive temperatures

arXiv:cond-mat/9711206 · doi:10.1023/A:1023299916107

Abstract

We present the first example of an exponentially decaying interaction which gives rise to non-periodic long-range order at positive temperatures.

7 pages, Latex

References in corpus (2)

  • Stable quasicrystalline ground states
  • An Ultimate Frustration in Classical-Lattice Gas Models

Cited by in corpus (8)

  • Thermodynamic transition associated with irregularly ordered ground states in a lattice gas model
  • Statistical mechanics of glass transition in lattice molecule models
  • Sturmian ground states in classical lattice-gas models
  • On the geometry of ground states and quasicrystals for lattice systems
  • On the Besicovitch-Stability of Noisy Random Tilings
  • Aperiodicity in equilibrium systems: Between order and disorder
  • Degenerated ground-states in a class of 1D Ising-like models: a characterization by symbolic dynamics
  • A continuum of pure states in the Ising model on a halfplane
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