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On the bifurcations occurring in the parameter space of the sixteen vertex model

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  • Hijmans, J.
  • Schram, H.M.

Abstract

The analysis of the bifurcation structure in the 16-dimensional parameter space of homogeneous (sixteen-) vertex models, started in part I, is completed in this paper. As before equivalence classes of models having the same partition function are identified by means of a 4 × 4 diagonal matrix N and a pair of characteristic (2 × 2)-matrices A and B. The bifurcation classes of models studied in this part include also classes for which the N-matrix shows degeneracies.

Suggested Citation

  • Hijmans, J. & Schram, H.M., 1984. "On the bifurcations occurring in the parameter space of the sixteen vertex model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(1), pages 25-57.
    • Handle: RePEc:eee:phsmap:v:125:y:1984:i:1:p:25-57
    DOI: 10.1016/0378-4371(84)90003-7
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    References listed on IDEAS

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    1. Gaaff, A. & Hijmans, J., 1975. "Symmetry relations in the sixteen-vertex model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 80(2), pages 149-171.
    2. Gaaff, A. & Hijmans, J., 1978. "Interpretation of the symmetry group of the homogeneous 16-vertex model in terms of Lorentz similarity transformations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 94(2), pages 192-210.
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