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Random surfaces with two-sided constraints: An application of the theory of dominant ground states

Journal of Statistical Physics, ISSN: 1572-9613, Vol: 64, Issue: 1-2, Page: 111-134
1991
  • 50
    Citations
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  • 5
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    50
    • Citation Indexes
      50
  • Captures
    5

Article Description

We consider some models of classical statistical mechanics which admit an investigation by means of the theory of dominant ground states. Our models are related to the Gibbs ensemble for the multidimensional SOS model with symmetric constraints {divides}φ{divides} ≤m/2. The main result is that for β≥β, where β does not depend on m, the structure of thermodynamic phases in the model is determined by dominant ground states: for an even m a Gibbs state is unique and for an odd m the number of space-periodic pure Gibbs states is two. © 1991 Plenum Publishing Corporation.

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